Advanced Mathematics Primary 6 Geometry

In a parallelogram PQRS, ∠SPQ = 110°. The diagonal PR is drawn, and ∠SPR = 35°. Find ∠PRQ.

A 55°
B 110°
C 35°
D 75°
Show Worked Solution

Worked Solution

Step 1: In parallelogram PQRS, side SP is parallel to side QR. Step 2: PR is a transversal cutting these two parallel sides. Step 3: ∠SPR and ∠PRQ are alternate interior angles, so they are equal. Step 4: ∠PRQ = ∠SPR = 35°. Answer: 35°

Correct answer: 35°

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