In a ΔABC, If 2∠A = 3∠B = 6∠C, then the value of ∠B is:
A. 60°
B. 30°
C. 45°
D. 90°
Answer: Option A
Solution(By Examveda Team)
According to question,Given :
$$\eqalign{ & 2\angle A = 3\angle B \cr & \frac{{\angle A}}{{\angle B}} = \frac{3}{2}\,\,\,\,\,\,\,\,\,\,\,\,\,3\angle B = 6\angle C \cr & \frac{{\angle B}}{{\angle C}} = \frac{6}{3} = \frac{2}{1} \cr} $$
To make angle ∠B same
∴ ∠A : ∠B : ∠C
3 : 2 : 1
As we know that
∠A + ∠B + ∠C = 180°
3x + 2x + x = 180°
x = 30°
∠B = 2x
∠B = 60°
Related Questions on Triangles
If ABC and PQR are similar triangles in which ∠A = 47° and ∠Q = 83°, then ∠C is:
A. 50°
B. 70°
C. 60°
D. 80°
In the following figure which of the following statements is true?
A. AB = BD
B. AC = CD
C. BC + CD
D. AD < Cd
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