Angle x and angle y are complementary. Angle x is supplementary to a 128 degree angle. What are the measures of angle x and angle y

The measure of angle x: 52 degree and angle y: 38 degree

Step-by-step explanation:

complementary are 90 degrees and supplementary are 80

The measure of angle x is 52 degree and angle y is 38 degree

Solution:

Given that Angle x and angle y are complementary

Angle x is supplementary to a 128 degree angle

To find: measures of angle x and angle y

Two angles are complementary when they add up to 90 degrees

Two angles are supplementary when they add up to 180 degrees

Given Angle x is supplementary to a 128 degree angle

Therefore, angle x + 128 = 180

angle x = 180 - 128

angle x = 52 degrees

Also given that Angle x and angle y are complementary

So, we get

angle x + angle y = 90

52 + angle y = 90

angle y = 90 - 52

angle y = 38 degrees

Therefore the measure of angle x is 52 degree and angle y is 38 degree