Question

In a ∆ ABC if 2 angle A = 3 angle B = 6 angle C then
the measuer of angle A is?​

Answer 1

Answer:-

Given:-

• 2∠A = 3∠B = 6∠C

To find:-

• The measure of ∠A

Solution:-

2∠A = 3∠B = 6∠C

Angle sum property is

∠A + ∠B + ∠C = 180°

Let,

∠A = x/2, ∠B = x/3, ∠C = x/6

∠A + ∠B + ∠C = x/2 + x/3 + x/6

(Here, the value of ∠A + ∠B + ∠C is "180")

180 = x/2 + x/3 + x/6

180 = 3x + 2x + x / 6

1080 = 6x

x = 1080/6

x = 180

Then,

∠A = x/2

∠A = 180/2

∠A = 90°

Therefore, the value of ∠A is "90°"