Question
In a triangle ABC, ∠A = 45° and ∠B = 75°, find ∠C.
✓
Answer
Since the sum of angles of a triangle is 180°
∴ ∠A + ∠B + ∠C = 180°
⇒ 45° + 75° + ∠C = 180°
⇒ 120° + ∠C = 180°
⇒ ∠C = 180° − 120° = 60°
∴ ∠A + ∠B + ∠C = 180°
⇒ 45° + 75° + ∠C = 180°
⇒ 120° + ∠C = 180°
⇒ ∠C = 180° − 120° = 60°
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