Question

pter 5 & 6 test (5.1-5.5, 6.1, 6.5) part 1 of 2 recall that two angles are complementary if the sum of their measures is 90°. find the measures of two complementary angles if one angle is five times the other angle smaller angle = \\(\square^\circ\\)

Explanation:

Step1: Define variables

Let smaller angle = $x$, larger angle = $5x$.

Step2: Set up equation

Sum of complementary angles: $x + 5x = 90^\circ$.

Step3: Solve for x

$6x = 90^\circ \implies x = \frac{90^\circ}{6} = 15^\circ$.

Answer:

15