An angle is 25° less than the measure of its complement. What is the measure of the smaller angle?

Mar 13, 2016

A complementary pair of angles are a pair that add to 90 degrees, while a supplementary pair is a pair that add up to 180 degrees.

Explanation:

Assuming x is the largest angle.
$x + \left(x - 25\right) = 90$

$2 x = 115$

$x = 57.5$

The larger angle measures 57.5 degrees, therefore the smaller measures 32.5 degrees.

Hopefully this helps!