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(180)/(\pi)`

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

for A.

r=53pi/36

`d=(53\pi)/(36)\cdot(180)/(\pi)=265`

the measure in degrees is 265°

for B.

r= 13pi/18

`d=(13\pi)/(18)\cdot(180)/(\pi)=130`

the measure in degrees is 130°

for C.

r=-7pi/20

`d=-(7\pi)/(20)\cdot(180)/(\pi)=-63`

the measure in degrees is -63°

for D.

r=-2pi/9

`d=-(2\pi)/(9)\cdot(180)/(\pi)=-40`

the measure in degrees is -40°