Question

Find the reference angle Sketch “ “ in standard position and label “ “

Answer 1

Given that

`\theta=155\degree`

To evaluate the reference angle, we have

`\begin{gathered} \theta+\theta^(\prime)=180(sum\text{ of angles on a line\rparen} \\ \Rightarrow155+\theta^(\prime)=180 \\ add\text{ -155 to both sides} \\ -155+155+\theta^(\prime)=-155+180 \\ \Rightarrow\theta\text{'=25} \end{gathered}`

Hence, the reference angle is evaluated to be

`25\degree`