Question

Angle A is twice as large as it’s compliment, angle B. Find the measure of the angle.

Answer 1

Answer:

∠A = 60°      and   ∠B = 30°

Step-by-step explanation:

Given in question as ,

Angle A is twice as large as its compliment angle B

Angles are compliment in nature when sum of these two angle = 90°

Now ∠A + ∠B = 90°

Again as per question ∠A = 2 times ∠B

So, 2 times ∠B + ∠ B = 90°

Or, 3 ∠B = 90°

So, ∠B = $\frac{90}{3}$

Thus, ∠B = 30°

Now Put the value of angle B to get the value of angle A

So, ∠A = 90° - 30°

Or, ∠A = 60°

Hence ∠A = 60°  and ∠B = 30°             ANSWER