AP State Syllabus AP Board 7th Class Maths Solutions Chapter 4 Lines and Angles Ex 6 Textbook Questions and Answers.

## AP State Syllabus 7th Class Maths Solutions 4th Lesson Lines and Angles Exercise 6

Question 1.

Name two pairs of vertically opposite angles in the figure.

Solution:

Vertically opposite angles are

∠AOC, ∠BOD and ∠BOC, ∠AOD

Question 2.

Find the measure of x, y and z without actually measuring them.

Solution:

From the figure

∠y and 160° are vertically opposite angles and hence equal.

∴ ∠y=1600

Also ∠x = ∠z and (. vertically opposite angles)

x + 160° = 180° (Linear pair of angles)

∴ ∠x = 180° – 160° = 20°

∠z = 20° (∵ ∠x, ∠z are vertically opposite)

∴ x = 20°

y = 160°

z = 20°

Question 3.

Give some examples of vertically opposite angles in your surroundings.

Solution:

i) Angles between legs of a folding cot/scamp cot.

ii) Angles between legs of a folding chair.

iii) Angles between plates of a scissors.