Question

The ratio of two supplementary angles is 7: 8.Find the measure of the larger angle.

Answer 1

The ratio of two supplementary angles is 7:8

Let 7x and 8x be the two angles.

Supplementary angles mean that the sum of these two angles must be equal to 180°

$7x+8x=180\degree$

Solve the equation for x.

$\begin{gathered} 7x+8x=180\degree \\ 15x=180\degree \\ x=\frac{180\degree}{15} \\ x=12 \end{gathered}$