Question

∠DFG and ∠JKL are complementary angles. m∠DFG = x + 5, and m∠JKL = x − 1. Find the measure of each angle.

Answer 1

Since angle DFG and angle JKL are complementary angles, means that they add up to 90°,
(x + 5) + (x - 1) = 90
2x + 4 = 90
2x = 90 - 4 = 86
x = 43°
angle DFG = x + 5
= 43 + 5
= 48°
angle JKL = x - 1
= 43 - 1
= 42°