Question

∠A and ∠B are complemntry angles. If m∠A = (3x+18) and m∠B = (2x+17) then find the measure of ∠A

Answer 1

Answer: 51 degrees

Work Shown:

Complementary angles add to 90 degrees.

A+B = 90

(3x+18)+(2x+17) = 90

5x+35 = 90

5x = 90-35

5x = 55

x = 55/5

x = 11

Then we can determine each angle:

• angle A = 3x+18 = 3*11+18 = 33+18 = 51 degrees is the final answer
• angle B = 2x+17 = 2*11+17 = 22+17 = 39 degrees

As a check: A+B = 51+39 = 90 to confirm the answer.