Question

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 eight times the other angle what's the smaller angle and the larger angle

Answer 1

Given :

Two complementary

And one angle is eight times the other angle

So, let the smaller angle is x

The other angle is 8x

so, the sum of them = 90

So,

$x+8x=90$

solve the equation for x

$\begin{gathered} 9x=90 \\ \\ x=\frac{90}{9}=10 \end{gathered}$

So, the answer is :

The smaller angle = 10

The larger angle = 80