Question

11. The sum of angles of a triangle is 180°. The ratio of the angles is 2:2:5. Find the angles of the
triangle.​

Answer 1

ABC

solution .

sum of all the angles =180°

but given angle are in ratio

let 2x+2x+5x=180°

9x=180°

x=180/9

x=20

a=40

b=40

c=5(20)

c=100

Answer 2

To Find:-

• Find the angles of the traingle.

Given:-

• The ratio of the angles is 2 : 2 : 5

Solution:-

The sum of the angles is 180°

️ ➭ 2x + 2x + 5x = 180

️ ➭ 9x = 180

️ ➭ x = 180/9

️ ➭ $\tt \boxed {{ \: x \: = \: 20 \: }}$

So,

The angles are

️ ➭ 2x = 2 ( 20 ) = 40°

️ ➭ 2x = 2 ( 20 ) = 40°

️ ➭ 5x = 5 ( 20 ) = 100°

Verification:-

️ ➭ 2x + 2x + 5x = 180

️ ➭ 2 ( 20 ) + 2 ( 20 ) + 5 ( 20 ) = 180

️ ➭ 40 + 40 + 100 = 180

️ ➭ 180 = 180