Question

The angles of a triangle are 3x (2x+20)and (5x-40)find the angles hence show that the triangle is an equilateral triangle?

Answer 1

USING ANGLE SUM PROPERTY :

3x+(2x+20)+(5x-40)=180
3x+2x+20+5x-40=180
10x-20=180
10x=180+20
10x=200
x=20

All the angles are :
3x=3×20=60
2x+20=2×20+20=40+20=60
5x-40=5×20-40=100-40=60

All the angles are of 60° therefore it is an equilateral triangle.

Answer 2

Hey user here is your answer.....

◆According to angle sum property of ∆ = sum of all three angle is equals to 180°

◆3x+2x+20+5x-40=180

◆10x=180+20

◆x=200/10

◆x=20


now,

3x = 3×20=60°

2x+20=2(20)+20=60°

◆5x-40=5(20)-40=100-40
=60°

---> Here all angles are of 60° hence it is equilateral triangle



Hope it helps you☺️