Question

If m∠ A = 4x and m∠ B = x – 15, ∠ A and ∠ B are supplementary, find x Find the measure of the angle and the m∠ A and m∠ B.

Answer 1

see explanation

Explanation:

Supplementary angles sum to 180° , then

4x + x - 15 = 180

5x - 15 = 180 ( add 15 to both sides )

5x = 195 ( divide both sides by 5 )

x = 39

Then

∠ A = 4x = 4(39) = 156°

∠ B = x - 15 = 39 - 15 = 24°

Answer 2

x = 39

m∠ A = 156

m∠ B = 14

Explanation: