Question

In Fig. 8.35, ∠AOC and ∠BOC form a linear pair. If a -2b = 30°, find a and b.

Answer 1

Given : ∠AOC and ∠BOC form a linear pair. If a - 2b = 30°.

∠AOC = a  and ∠BOC = b

Therefore, a + b = 180° ………...(i)

(a – 2b) = 30° …………….(ii)

On subtracting equation (2) from (1), we get :  

a + b - (a – 2b) = 180° – 30°

a + b – a + 2b = 180° – 30°

3b = 50°

b  = 50°/3

b = 50°

Since,  (a – 2b) = 30°

On putting the value of b = 50°  :

a – 2 (50) = 30°

a – 100° = 30°

a  = 100°+ 30°

a = 130°

Hence, the values of a and b are 130° and 50° .

HOPE THIS ANSWER WILL HELP YOU…..

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