Question

In a AABC, if 2angleA=3 angleB=6angleC, the measure of ZA, ZB, ZC, respectively, are
(a) 90°, 60°, 30°
(b) 45°, 60°,850
(c) 30°, 60°, 90°
(d) 35°, 55°, 90°
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Answer 1

Answer:

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Answer 2

Answer:(a) 90°,60°,30°

Step-by-step explanation:

Soln: given:- 2∠A=3∠B=6∠C

Let 2∠A=3∠B=6∠C=k

∠A= k/2 ,∠B=k/3, ∠C=k/6

Since we know that sum of all int. angles of a ∆ is 180°

Therefore, ∠A+ ∠B+ ∠C= 180°

k/2+k/3+k/6 = 180°

3k+2k+k/6= 180°

6k/6= 180°

k=180°

Therefore, ∠A= k/2=180°/2=90°

∠B=k/3 =180°/3 = 60°

∠C=k/6 = 180°/6 = 30°