Find the measure of an angle if its supplement measures $295^{\circ}$ less than 6 times its complement.
A) $13^{\circ}$
B) $169^{\circ}$
C) $6^{\circ}$
D) $84.5^{\circ}$

Question

Quizplus · Accepted Answer

The measure of an angle's supplement is 180 degrees minus the angle, and its complement is 90 degrees minus the angle. Let the angle be $x$. The equation based on the given information is $6(90 - x) - 295 = 180 - x$. Solving this equation gives $x = 13^{\circ}$.

Find the Measure of an Angle If Its Supplement Measures 295∘295^{\circ}295∘

Find the Measure of an Angle If Its Supplement Measures $295^{\circ}$