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Answer: Given that MP \\NS , RS\\PQ and MR =NQ

MRN is a straight line with sum of angles equal to 180⁰ MQN is also a straight line triangle equal to 180⁰

Angle at R + 3 = Angle at Q +2 = 180⁰

Angle R is alternate to Q and angle 2 is alternate to 3 and both sets are equal

Therefore angle 1 is equal to 4 and this makes their third angles in the triangle equal.

Triangle MQP then becomes a perfect replica of NRS

Explanation:

User Peter Hanley
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