Question

∠A and \angle B∠B are complementary angles. If m\angle A=(x-21)^{\circ}∠A=(x−21) ∘ and m\angle B=(2x-15)^{\circ}∠B=(2x−15) ∘ , then find the measure of \angle A∠A.

Answer 1

Answer:

A = 21 degrees

Step-by-step explanation:

Here in this question, we are told to calculate the value of angle A.

When two angles are tagged complementary, what this means is that the addition of both angles gives a total of 90 degrees.

Hence;

A + B = 90

This means that;

(x-21) + (2x -15) = 90

x + 2x -21-15 = 90

3x -36 = 90

3x = 90+ 36

3x = 126

x = 126/3

x = 42

But we are told to calculate the measure of A

A = x -21

A = 42-21

A = 21 degrees