Respuesta :

The S in supplementary can be used to form the 8 in 180. The C in complementary can be used to form the 9 in 90. If we know that a set of angles form one of these special relationships, we can determine the measure of the other angle. To determine the supplement, subtract the given angle from 180.

If the complement of an angle measures 52 degrees, measure of supplement is 128 degrees

Given:

the complement of an angle measures 52 degrees

Sum of complementary angles is equal to 90 degrees

one angle is 52 degrees

other complementary angle is [tex]90-52=38[/tex]

Other complementary angle is 38 degrees

sum of supplementary angle is 180 degrees

one angle is 52 degree

the measure of supplement is [tex]180-52=128[/tex]

Measure of supplement is 128 degrees

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