Question

Find the reference angle for a rotation of 253º.

Answer 1

Given the angle:

253 degrees

Let's find the reference angle to the given angle for a rotation.

The given angle, 253 degrees, is in quadrant 3.

To find the reference angle of ang angle in quadrant 3, we have:

`\theta_(ref)=\theta-180`

Hence, we have:

`\begin{gathered} \theta_(ref)=253-180 \\ \\ \theta_(ref)=73^o \end{gathered}`

Therefore, the reference angle is 73 degrees.

ANSWER:

73°