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

The figure shows a triangle with an angle bisector. Find angle SQR if the measurement-example-1
User Yogesh Rathi
by
3.1k points

1 Answer

21 votes
21 votes

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°.

User Mpb
by
2.8k points
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