Question

∠A and ∠B form a linear pair. Find ∠A and ∠B if ∠A = 2∠B.

Answer 1

∠A = 120°

∠B = 60°

Explanation:

Since, ∠A and ∠B form a linear pair.

Therefore,

∠A + ∠B = 180°.....(1)

It is given that:

∠A = 2∠B..... (2)

From equations (1) & (2)

2∠B + ∠B = 180°

3∠B = 180°

∠B = 180°/3

∠B = 60°

So, ∠A = 2∠B = 2*60°

∠A = 120°