4024/11 Oct/Nov 2021, Question 10: Angles in a Triangle
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
A triangle has an angle of 55° and the remaining two angles are in the ratio 3 : 2. Calculate the smallest angle in the triangle.
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Solution · 3 marks
- 1Other two angles add to 180 − 55 = 125°
- 2Split 125 in the ratio 3 : 2: 125 ÷ 5 = 25
- 3Angles are 3 × 25 = 75° and 2 × 25 = 50°
- 4Smallest angle = 50°
Answer50
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