Question

The answers to choose from are -40, 130, 53, -63, -140, 265, 234

Answer 1

First we need to know how to convert radians to degrees

$d=\text{r}\cdot\frac{180}{\pi}$

where r is the measure in radians and d is the measure in degrees

for A.

r=53pi/36

$d=\frac{53\pi}{36}\cdot\frac{180}{\pi}=265$

the measure in degrees is 265°

for B.

r= 13pi/18

$d=\frac{13\pi}{18}\cdot\frac{180}{\pi}=130$

the measure in degrees is 130°

for C.

r=-7pi/20

$d=-\frac{7\pi}{20}\cdot\frac{180}{\pi}=-63$

the measure in degrees is -63°

for D.

r=-2pi/9

$d=-\frac{2\pi}{9}\cdot\frac{180}{\pi}=-40$

the measure in degrees is -40°