{"id":29803,"date":"2022-03-04T17:07:05","date_gmt":"2022-03-04T11:37:05","guid":{"rendered":"https:\/\/apboardsolutions.guru\/?p=29803"},"modified":"2022-03-04T17:07:05","modified_gmt":"2022-03-04T11:37:05","slug":"ap-board-9th-class-maths-solutions-chapter-12-ex-12-5-in-telugu","status":"publish","type":"post","link":"https:\/\/apboardsolutions.guru\/ap-board-9th-class-maths-solutions-chapter-12-ex-12-5-in-telugu\/","title":{"rendered":"AP Board 9th Class Maths Solutions Chapter 12 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Ex 12.5"},"content":{"rendered":"

AP SCERT 9th Class Maths Textbook Solutions<\/a> Chapter 12 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Ex 12.5 Textbook Exercise Questions and Answers.<\/p>\n

AP State Syllabus 9th Class Maths Solutions 12th Lesson \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Exercise 12.5<\/h2>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 1.
\n\u0c15\u0c3f\u0c02\u0c26\u0c3f \u0c2a\u0c1f\u0c3e\u0c32\u0c32\u0c4b x \u0c2e\u0c30\u0c3f\u0c2f\u0c41 y \u0c35\u0c3f\u0c32\u0c41\u0c35\u0c32\u0c41 \u0c15\u0c28\u0c41\u0c15\u0c4d\u0c15\u0c4b\u0c02\u0c21\u0c3f.
\n\u0c38\u0c3e\u0c27\u0c28.
\n(i)
\n\"AP
\n\u0c2a\u0c1f\u0c02 \u0c28\u0c41\u0c02\u0c21\u0c3f x = y[\u2235 \u0c38\u0c2e\u0c3e\u0c28 \u0c2d\u0c41\u0c1c\u0c3e\u0c32\u0c15\u0c41 \u0c0e\u0c26\u0c41\u0c30\u0c41\u0c17\u0c32 \u0c15\u0c4b\u0c23\u0c3e\u0c32\u0c41]
\n\u0c15\u0c3e\u0c28\u0c3f x + y + 30\u00b0 = 180\u00b0
\n\u2234 x + y = 180\u00b0 – 30\u00b0 = 150\u00b0
\n\u21d2 x = y = \\(\\frac {150\u00b0}{2}\\)= 75\u00b0<\/p>\n

(ii)
\n\"AP
\n\u0c2a\u0c1f\u0c02 \u0c28\u0c41\u0c02\u0c21\u0c3f x\u00b0 + 110\u00b0 = 180\u00b0 [\u2235 \u0c1a\u0c15\u0c4d\u0c30\u0c40\u0c2f \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c02\u0c32\u0c4b \u0c0e\u0c26\u0c41\u0c1f\u0c3f \u0c15\u0c4b\u0c23\u0c3e\u0c32\u0c41 \u0c38\u0c02\u0c2a\u0c42\u0c30\u0c15\u0c3e\u0c32\u0c41]
\ny + 85\u00b0 = 180
\n\u2234 x = 180\u00b0 – 110\u00b0; y = 180\u00b0 – 85\u00b0
\nx = 70\u00b0; y = 95\u00b0<\/p>\n

(iii)
\n\"AP
\n\u0c2a\u0c1f\u0c02 \u0c28\u0c41\u0c02\u0c21\u0c3f x = 90\u00b0 [\u0c05\u0c30\u0c4d\u0c27\u0c35\u0c43\u0c24\u0c4d\u0c24\u0c02\u0c32\u0c4b\u0c28\u0c3f \u0c15\u0c4b\u0c23\u0c2e\u0c41]
\n\u2234 y = 90\u00b0 – 50\u00b0 [\u2235 \u0c15\u0c4b\u0c23\u0c3e\u0c32 \u0c2e\u0c4a\u0c24\u0c4d\u0c24\u0c02 \u0c27\u0c30\u0c4d\u0c2e\u0c02]
\n= 40\u00b0<\/p>\n

\"AP<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 2.
\nABCD \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c02\u0c32\u0c4b\u0c28\u0c3f A, B, C \u0c32\u0c41 \u0c12\u0c15\u0c47 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c02\u0c2a\u0c48 \u0c09\u0c28\u0c4d\u0c28\u0c3e\u0c2f\u0c3f. \u0c2e\u0c30\u0c3f\u0c2f\u0c41 \\(\\angle \\mathbf{A}+\\angle \\mathbf{C}\\) = 180\u00b0 \u0c05\u0c2f\u0c3f\u0c28 \u0c36\u0c40\u0c30\u0c4d\u0c37\u0c02 D \u0c15\u0c42\u0c21\u0c3e \u0c05\u0c26\u0c47 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c02\u0c2a\u0c48 \u0c09\u0c02\u0c1f\u0c41\u0c02\u0c26\u0c28\u0c3f \u0c28\u0c3f\u0c30\u0c42\u0c2a\u0c3f\u0c02\u0c1a\u0c02\u0c21\u0c3f.
\n\u0c38\u0c3e\u0c27\u0c28.
\n\u0c26\u0c24\u0c4d\u0c24\u0c3e\u0c02\u0c36\u0c2e\u0c41 \u0c28\u0c41\u0c02\u0c21\u0c3f \\(\\angle \\mathbf{A}+\\angle \\mathbf{C}\\) = 180\u00b0
\n\u2234 \\(\\angle \\mathbf{B}+\\angle \\mathbf{D}\\) = 360\u00b0 – 180\u00b0 = 180\u00b0
\n[\u2235 \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c02\u0c32\u0c4b\u0c28\u0c3f \u0c15\u0c4b\u0c23\u0c3e\u0c32 \u0c2e\u0c4a\u0c24\u0c4d\u0c24\u0c02 360\u00b0)
\n\u2610ABCD \u0c32\u0c4b, \u0c0e\u0c26\u0c41\u0c1f\u0c3f \u0c15\u0c4b\u0c23\u0c3e\u0c32 \u0c2e\u0c4a\u0c24\u0c4d\u0c24\u0c2e\u0c41 180\u00b0.
\n\u2234 \u2610ABCD \u0c12\u0c15 \u0c1a\u0c15\u0c4d\u0c30\u0c40\u0c2f \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c2e\u0c41.
\ni.e., A, B \u0c2e\u0c30\u0c3f\u0c2f\u0c41 C \u0c32\u0c41 \u0c35\u0c41\u0c02\u0c21\u0c41 \u0c05\u0c26\u0c47 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c02 \u0c2a\u0c48\u0c28\u0c47 D \u0c15\u0c42\u0c21\u0c3e \u0c09\u0c02\u0c21\u0c41\u0c28\u0c41.<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 3.
\n\u0c12\u0c15 \u0c1a\u0c15\u0c4d\u0c30\u0c40\u0c2f \u0c38\u0c2e\u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c02 \u0c1a\u0c24\u0c41\u0c30\u0c38\u0c4d\u0c30\u0c02 \u0c05\u0c35\u0c41\u0c24\u0c41\u0c02\u0c26\u0c28\u0c3f \u0c28\u0c3f\u0c30\u0c42\u0c2a\u0c3f\u0c02\u0c1a\u0c02\u0c21\u0c3f.
\n\u0c38\u0c3e\u0c27\u0c28.
\n\"AP
\n\u2610ABCD \u0c12\u0c15 \u0c1a\u0c15\u0c4d\u0c30\u0c40\u0c2f \u0c38\u0c2e\u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c2e\u0c41 \u0c05\u0c28\u0c41\u0c15\u0c4a\u0c28\u0c41\u0c2e\u0c41.
\n\u0c05\u0c26\u0c47 \u0c35\u0c3f\u0c27\u0c02\u0c17\u0c3e AB = BC = CD = DA \u0c2e\u0c30\u0c3f\u0c2f\u0c41 \\(\\angle \\mathrm{A}+\\angle \\mathrm{C}=\\angle \\mathrm{B}+\\angle \\mathrm{D}\\) = 180\u00b0
\n\u0c15\u0c3e\u0c28\u0c3f \u0c38\u0c2e\u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c2e\u0c41 \u0c12\u0c15 \u0c38\u0c2e\u0c3e\u0c02\u0c24\u0c30 \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c2e\u0c41.
\n\u2234 \u0c0e\u0c26\u0c41\u0c1f\u0c3f \u0c15\u0c4b\u0c23\u0c3e\u0c32 \u0c1c\u0c24\u0c32\u0c41 \u0c38\u0c2e\u0c3e\u0c28\u0c2e\u0c41.
\n\\(\\angle \\mathrm{A}=\\angle \\mathrm{C}\\) \u0c2e\u0c30\u0c3f\u0c2f\u0c41 \\(\\angle \\mathrm{B}=\\angle \\mathrm{D}\\)
\n\u2234 \\(\\angle \\mathrm{A}=\\angle \\mathrm{B}=\\angle \\mathrm{C}=\\angle \\mathrm{D}\\)
\n= \\(\\frac {180\u00b0}{2}\\) = 90\u00b0
\n\u2234 \u2610ABCD \u0c12\u0c15 \u0c1a\u0c24\u0c41\u0c30\u0c38\u0c4d\u0c30\u0c2e\u0c41.<\/p>\n

\"AP<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 4.
\n\u0c15\u0c3f\u0c02\u0c26\u0c3f \u0c35\u0c3e\u0c1f\u0c3f\u0c28\u0c3f \u0c05\u0c28\u0c4d\u0c28\u0c3f\u0c02\u0c1f\u0c3f\u0c28\u0c40 \u0c12\u0c15 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c28\u0c4d\u0c28\u0c3f \u0c17\u0c40\u0c1a\u0c3f \u0c05\u0c02\u0c26\u0c41\u0c32\u0c4b \u0c05\u0c02\u0c24\u0c30\u0c4d\u0c32\u0c3f\u0c16\u0c3f\u0c02\u0c1a\u0c02\u0c21\u0c3f. \u0c05\u0c1f\u0c41\u0c35\u0c02\u0c1f\u0c3f \u0c2c\u0c39\u0c41\u0c2d\u0c41\u0c1c\u0c3f\u0c28\u0c3f \u0c28\u0c3f\u0c30\u0c4d\u0c2e\u0c3f\u0c02\u0c1a\u0c32\u0c47\u0c28\u0c3f\u0c1a\u0c4b ‘\u0c38\u0c3e\u0c27\u0c4d\u0c2f\u0c02 \u0c15\u0c3e\u0c26\u0c41’ \u0c05\u0c28\u0c3f \u0c30\u0c3e\u0c2f\u0c02\u0c21\u0c3f. \u0c1c \u0c05\u0c28\u0c3f \u0c30\u0c3e\u0c2f\u0c02\u0c21\u0c3f.
\n(a) \u0c26\u0c40\u0c30\u0c4d\u0c18\u0c1a\u0c24\u0c41\u0c30\u0c38\u0c4d\u0c30\u0c02
\n(b) \u0c1f\u0c4d\u0c30\u0c46\u0c2a\u0c40\u0c1c\u0c3f\u0c2f\u0c02
\n(c) \u0c05\u0c27\u0c3f\u0c15 \u0c15\u0c4b\u0c23 \u0c24\u0c4d\u0c30\u0c3f\u0c2d\u0c41\u0c1c\u0c02
\n(d) \u0c26\u0c40\u0c30\u0c4d\u0c18\u0c1a\u0c24\u0c41\u0c30\u0c38\u0c4d\u0c30\u0c02 \u0c15\u0c3e\u0c28\u0c3f \u0c38\u0c2e\u0c3e\u0c02\u0c24\u0c30 \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c02
\n(e) \u0c05\u0c32\u0c4d\u0c2a\u0c15\u0c4b\u0c23 \u0c38\u0c2e\u0c26\u0c4d\u0c35\u0c3f\u0c2c\u0c3e\u0c39\u0c41 \u0c24\u0c4d\u0c30\u0c3f\u0c2d\u0c41\u0c1c\u0c02
\n(f) \\(\\overline{\\mathbf{PR}}\\) \u0c35\u0c4d\u0c2f\u0c3e\u0c38\u0c02\u0c17\u0c3e PQRS \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c02
\n\u0c38\u0c3e\u0c27\u0c28.
\n(a) \u0c26\u0c40\u0c30\u0c4d\u0c18\u0c1a\u0c24\u0c41\u0c30\u0c38\u0c4d\u0c30\u0c02
\n\"AP
\n(b) \u0c1f\u0c4d\u0c30\u0c46\u0c2a\u0c40\u0c1c\u0c3f\u0c2f\u0c02
\n\"AP
\n(c) \u0c05\u0c27\u0c3f\u0c15 \u0c15\u0c4b\u0c23 \u0c24\u0c4d\u0c30\u0c3f\u0c2d\u0c41\u0c1c\u0c02
\n\"AP
\n(d) \u0c26\u0c40\u0c30\u0c4d\u0c18\u0c1a\u0c24\u0c41\u0c30\u0c38\u0c4d\u0c30\u0c02 \u0c15\u0c3e\u0c28\u0c3f \u0c38\u0c2e\u0c3e\u0c02\u0c24\u0c30 \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c02 (\u0c38\u0c3e\u0c27\u0c4d\u0c2f\u0c2a\u0c21\u0c26\u0c41)
\n(e) \u0c05\u0c32\u0c4d\u0c2a\u0c15\u0c4b\u0c23 \u0c38\u0c2e\u0c26\u0c4d\u0c35\u0c3f\u0c2c\u0c3e\u0c39\u0c41 \u0c24\u0c4d\u0c30\u0c3f\u0c2d\u0c41\u0c1c\u0c02
\n\"AP
\n(f) \\(\\overline{\\mathbf{PR}}\\) \u0c35\u0c4d\u0c2f\u0c3e\u0c38\u0c02\u0c17\u0c3e PQRS \u0c1a\u0c24\u0c41\u0c30\u0c4d\u0c2d\u0c41\u0c1c\u0c02
\n\"AP<\/p>\n","protected":false},"excerpt":{"rendered":"

AP SCERT 9th Class Maths Textbook Solutions Chapter 12 \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Ex 12.5 Textbook Exercise Questions and Answers. AP State Syllabus 9th Class Maths Solutions 12th Lesson \u0c35\u0c43\u0c24\u0c4d\u0c24\u0c3e\u0c32\u0c41 Exercise 12.5 \u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 1. \u0c15\u0c3f\u0c02\u0c26\u0c3f \u0c2a\u0c1f\u0c3e\u0c32\u0c32\u0c4b x \u0c2e\u0c30\u0c3f\u0c2f\u0c41 y \u0c35\u0c3f\u0c32\u0c41\u0c35\u0c32\u0c41 \u0c15\u0c28\u0c41\u0c15\u0c4d\u0c15\u0c4b\u0c02\u0c21\u0c3f. \u0c38\u0c3e\u0c27\u0c28. (i) \u0c2a\u0c1f\u0c02 \u0c28\u0c41\u0c02\u0c21\u0c3f x = y[\u2235 \u0c38\u0c2e\u0c3e\u0c28 \u0c2d\u0c41\u0c1c\u0c3e\u0c32\u0c15\u0c41 \u0c0e\u0c26\u0c41\u0c30\u0c41\u0c17\u0c32 \u0c15\u0c4b\u0c23\u0c3e\u0c32\u0c41] \u0c15\u0c3e\u0c28\u0c3f x + y + 30\u00b0 …<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/29803"}],"collection":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/comments?post=29803"}],"version-history":[{"count":1,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/29803\/revisions"}],"predecessor-version":[{"id":29813,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/29803\/revisions\/29813"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/media?parent=29803"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/categories?post=29803"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/tags?post=29803"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}