Question

Match the angle measures with its equivalent.

Answer 1

Explanation:

let be π=180 degrees.

165 degrees have to be 11π/12.

-π/10 will be -18 degrees.

7π/6 will be 210 degrees.

-300 degrees will be -5π/3

Answer 2

From top to bottom:

11π/12

-18 degrees

210 degrees

-5π/3

Explanation:

Equation to change from radians to degrees:

(Radian number) x (180/π)

The trick is to remember that you want to cancel out the π when converting to degrees

Equation to change from Degrees to radians:

(degree number) x (π/180)

Bring in the π when converting to radians

So for the top one, you want to multiply 165 by π/180 to get

11π/12

Then the second one is -π/10 by 180/π to get

-18 degrees

and so forth