An angle measures 62° less than the measure of its supplementary angle. What is the measure of each angle?

Supplementary angles add up to 180°.

and we know that one angle is 62 less than the other.

so we know that one angle is n, and the other is n-62.

so we know:

angle 1 = n      and      angle 2 = n-62

and they both add up to 180, so we can make the equation:

n+ (n-62) = 180

simplify:

2n-62 = 180

2n = 242

n = 121

so we know the first angle is 121,

and if the second one is 62 less than 121:

121 - 62 = 59

The two angles are 121°, and 59°

and they both add up to 180°