Question

The figure shows a triangle with an angle bisector. Find angle SQR if the measurement of angle 2 is 13°?

Answer 1

If QP is an angle bisector, then angles 1 and 2 are equal because an angle bisector divides the angles into two equal angles.

`\begin{gathered} m\angle1=m\angle2 \\ m\angle1=13 \end{gathered}`

Then, we use the sum of angles definition.

`m\angle SQR=m\angle1+m\angle2=13+13=26`

Therefore, angle SQR measures 26°.