A school flag at the morning assembly is shaped like a triangular pennant ABC. The angle at vertex A is 75° and the angle at vertex B is 50°. Find the size of the angle at vertex C.
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Worked Solution
Step 1: Recall the rule. The three interior angles of any triangle add up to 180°.
∠A + ∠B + ∠C = 180°.
Step 2: Add the two given angles.
∠A + ∠B = 75° + 50° = 125°.
Step 3: Subtract from 180° to find ∠C.
∠C = 180° − 125° = 55°.
Check (reverse): 55° + 75° + 50° = 180° ✓
Final answer: ∠C = 55°.
Answer: 55°
Correct answer: 55°
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