Answer
The angle is 20 degrees.
Work Step by Step
Let x represent the angle.
The complement of the angle is 90 - x.
The supplement of the angle is 180 - x.
We set up this proportion.
$\frac{7}{16}$ = $\frac{90-x}{180-x}$
To solve this equation, we equate the cross products.
7 $\times$ (180 - x) = 16 $\times$ (90 - x)
1260 - 7x = 1440 - 16x
16x - 7x = 1440 - 1260
9x = 180
Divide both sides by 9.
x = 20
The angle is 20 degrees.
