Question

Two angles are complementary. The first angle is 2x degrees. The second angle is (x+30) degrees. Determine the larger angle

Answer 1

larger angle = 50°

complementary angles sum to 90° , hence

2x + x + 30 = 90

3x + 30 = 90 ( subtract 30 from both sides )

3x = 60 ( divide both sides by 3 )

x = 20

thus 2x = 2 × 20 = 40° and x + 30 = 20 + 30 = 50°

the larger angle is x + 30 = 50°