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26-10-2022
Mathematics

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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 of angle 2 is 13 class=

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WinstonA752388 WinstonA752388

26-10-2022

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

[tex]\begin{gathered} m\angle1=m\angle2 \\ m\angle1=13 \end{gathered}[/tex]

Then, we use the sum of angles definition.

[tex]m\angle SQR=m\angle1+m\angle2=13+13=26[/tex]

Therefore, angle SQR measures 26°.

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