Chapter 7 A Tale of Three Intersecting Lines - Part 5

In triangle ABC, if 2∠A = 3∠B = 6∠C, what is ∠A?

Type: MCQ • Marks: 1
In triangle ABC, if 2∠A = 3∠B = 6∠C, what is ∠A?
Options
A. 90°
B. 45°
C. 30°
D. 60°
Explanation
Let 2∠A = 3∠B = 6∠C = k. Then ∠A = k/2, ∠B = k/3, ∠C = k/6. k/2 + k/3 + k/6 = k = 180°. So ∠A = 180°/2 = 90°.
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Class 7th Ganita Prakash 1

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