Question

LINES AND ANGLES
2. In Fig. 6.14, lines XY and MN intersect at O. If
Z POY= 90° and a : b=2:3, find c.​

Answer 1

Step-by-step explanation:

Given angle POY=90°

a:b=2:3

Prove:- find the value of c.

proof:- let 2x+3x=90°

5x=90°

x=90°÷5

x=18°

a=2x=2×18°=36°

b=3x=3×18°=54°

therefore, angle b+angle c=180°. (linear pair)

54°+ angle c=180°

angle c=180°-54°

angle c=126°

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