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

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.

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lisboa lisboa · Answer 2 · 2021-10-19T11:37:34+02:00

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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