Question

∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 3 x + 25 ) ∘ ∠A=(3x+25) ∘ and m ∠ B = ( 5 x − 7 ) ∘ ∠B=(5x−7) ∘ , then find the measure of ∠ A ∠A.

Answer 1

52º

Explanation:

Complementary angles are a set of angles that add up to 90º. Knowing this, we can find the value of x by setting the sum of these two angles equal to 90. For example:

3x + 25 + 5x - 7 = 90

8x + 18 = 90

8x = 72

x = 9

Now that we know our x value, we can find the measure of angle A. Simply plug in the value of x to the measurement of angle A, which is 3x + 25.

3(9) + 25 = 52º