4024/12 Oct/Nov 2022, Question 8: Angles in a Triangle
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 2 marks
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The question, in short
In isosceles triangle ABC with AB = BC, the ratio of angle ABC to angle BAC is 2 : 5. Find angle ABC.
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Solution · 2 marks
- 1AB = BC, so angle BCA = angle BAC
- 2Angles in ratio 2 : 5 : 5, total 12 parts
- 3180 ÷ 12 = 15
- 4Angle ABC = 2 × 15 = 30°
Answer30
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