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Question
In the given figure, AB = AC = CD and ∠ADC = 38°. Calculate :
- Angle ABC
- Angle BEC
Solution
i. AC = CD
∴ ∠CAD = ∠CDA = 38°
∴∠ACD = 180° – 238° = 104°
∴∠ACB = 180° – 104° = 76° ...(Straight line)
Also, AB = AC
∴ ∠ABC = ACB = 76°
ii. By angle sum property,
∠BAC = 180° – 2 × 76°
∠BAC = 28°
∴ ∠BEC = ∠BAC = 28° ...(Angles in the same chord)
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