Question

find the measure of an angle if the sum of the measures of its complement and supplement is 162 degrees.

Answer 1

Let X = the angle.
90 - X = the complementary angle.
180 - X = the supplementary angle.

We add those together to get the sum equal to 162 degrees.
(90 - X) + (180 - X) = 162
and solve for X.

Answer 2

An angle measures 162° more than the measure of its supplementary angle. What is the measure of each angle?

Answer 3

56