In Fig. 6.2, POQ is a line. The value of x is
a) 20°
b) 25°
c) 30°
d) 35°

Solution:

Given, POQ is a line.

We have to find the value of x.

We know that if a ray stands on a line, then the adjacent angles so formed are supplementary.

Let the two rays initiating from the point O be OA and OB.

So, ∠POA + ∠AOB + ∠BOQ = 180°

40° + 4x + 3x = 180°

4x + 3x = 180° - 40°

7x = 140°

x = 140°/7

x = 20°

Therefore, the value of x is 20°

✦ Try This: Can an acute angle be adjacent to an obtuse angle?

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 6

NCERT Exemplar Class 9 Maths Exercise 6.1 Problem 6

In Fig. 6.2, POQ is a line. The value of x is, a) 20°, b) 25°, c) 30°, d) 35°

Summary:

The figure represents two rays initiating from the point O. POQ form a linear pair of angles.In Fig. 6.2, POQ is a line. The value of x is 20°

☛ Related Questions:

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