In triangle PQR, ∠QPR = 48° and ∠PQR = 67°. Find ∠PRQ.
Show Worked Solution
Worked Solution
Step 1: Recall the angle sum property of a triangle.
The three interior angles of any triangle add up to 180°.
∠QPR + ∠PQR + ∠PRQ = 180°
Step 2: Substitute the known angles.
48° + 67° + ∠PRQ = 180°
115° + ∠PRQ = 180°
Step 3: Solve for ∠PRQ.
∠PRQ = 180° − 115°
∠PRQ = 65°
Final answer: 65°
Answer: 65°
Correct answer: 65°
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