Question

Angles A and B are supplementary. The measure of angle A is twice the measure of angle B. What is the measure of angle B in radians?

Answer 1

Answer:

The answer is π/3 rad.

Explanation:

Given that ∠A and ∠B are supplementary angles so when both angles are added up, it will form 180°. ∠A is twice the measure of ∠B :

$let \: B = θ \\ let \: A = 2B = 2θ$

$2θ + θ = 180$

$3θ = 180$

$θ = 180 \div 3$

$θ = 60$

Next, you have to convert 60° into radian by using the formula :

$\frac{θ}{180} \times \pi$

$\frac{60}{180} \times \pi$

$= \frac{1}{3} \times \pi$

$= \frac{\pi}{3} \: rad$