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Answer:
Angel QPS= Angle PQM (Alternate interior angle)
Angle QRT= Angle RQM (Alternate interior angle)
Therefore Angle PQM and RQM are 35° and 55° Respectively and angle PQR= 90°( As PQM and RQM = Angle PQR)
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Question ↘️
Find Angle PQR.
Answer ↘️
Given:- Angle TRQ << 55°
Angle QPS << 35°
To find:- Measure of Angle PQR.
Solution:- Firstly please refer to the diagram in this attachment.
Angle 55° + Angle 3 << 180° (Co interior angles)
Angle 3 << 180°- 55°
Angle 3 << 125°
Angle 3 + Angle 2 << 180° (Linear Pair)
Angle 2 << 180° - 125°
Angle 2 << 55°
Angle 1 << Angle SPQ (Alternate interior angles)
Angle 1 << 35°
Angle PQR << Angle 2 + Angle 1
Angle PQR << 55° + 35°
Angle PQR << 90°
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