Question

Angle dfg and angle fkl are complementary angles, m angle dfg= x+4, and m anlge jkl = x+10 . Find the measure of each angle

Answer 1

42° and 48°

Explanation:

Complementary angles sum to 90°, hence

x + 10 + x + 4 = 90

2x + 14 = 90 ( subtract 14 from both sides )

2x = 76 ( divide both sides by 2 )

x = 38

x + 10 = 38 + 10 = 48° and x + 4 = 38 + 4 = 42°