The measure of an angle is 21° more than twice its supplement. How do you find the measure of each angle?

Oct 31, 2016

53, 127

Explanation:

Let $x$ be the measurement of the angle's supplement

$\implies x ' = 2 x + 21$

Since the two angles are supplements

$x + x ' = 180$

$\implies x + 2 x + 21 = 180$

$\implies 3 x = 159$

$\implies x = 53$

$\implies x ' = 127$