In a rhombus PQRS, the diagonal PR is drawn. Triangle PQR is isosceles with QP = QR (since all sides of a rhombus are equal). Given that ∠QPR = 35°, find ∠PSR (the opposite angle of the rhombus from ∠PQR).
Show Worked Solution
Worked Solution
Step 1: In triangle PQR (isosceles, QP = QR), ∠QRP = ∠QPR = 35°.
Step 2: ∠PQR = 180° − 35° − 35° = 110°.
Step 3: Opposite angles of a rhombus are EQUAL: ∠PSR = ∠PQR = 110°.
Answer: 110°
Correct answer: 110°
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