Question

Angle x and y are complementary. Angle x is supplementary to a 128º angle.

What are the measures of angle x and angle y?

Answer 1

x = 52°

y = 38°

Explanation:

x = 180 - 128

x = 52

y = 90 - 52 = 38

Answer 2

x = 52

y = 38

Explanation:

Angle x is supplementary to a 128º angle.

Supplementary angles add to 180

x+128 = 180

Subtract 128 from each side

x+128-128 = 180-128

x =52

Angle x and y are complementary.

Complementary angles add to 90

x+y =90

52+y =90

Subtract 52 from each side

52-52 +y = 90-52

y = 38