In Fig. 5.26, POQ is a line, then a is equal to
a. 35°
b. 100°
c. 80°
d. 135°

Solution:

Given, POQ is a line.

We have to find the value of a.

We know that the sum of the linear pair of angles is always equal to 180 degrees.

From the figure,

Since O is a point on the line PQ,

∠POR + ∠QOR = 180°

100° + a = 180°

a = 180° - 100°

a = 80°

Therefore, the value of a is 80 degrees.

✦ Try This: In the given figure, write, if any, each linear pair.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5

NCERT Exemplar Class 7 Maths Chapter 5 Problem 31

In Fig. 5.26, POQ is a line, then a is equal to, a. 35°, b. 100°, c. 80°, d. 135°

Summary:

In Fig. 5.26, POQ is a line, then a is equal to 80 degrees.

☛ Related Questions:

• In which of the following figures, a and b are forming a pair of adjacent angles
• In a pair of adjacent angles, (i) vertex is always common, (ii) one arm is always common, and (iii) . . . .
• In Fig. 5.25, lines PQ and ST intersect at O. If ∠POR = 90° and x : y = 3 : 2, then z is equal to, a . . . .