Question

the angles of atriangle are 4x°,(2x+30)°and(5x-15)°. find the angles and then show that the triangle is an equilateral triangle​

Answer 1

Answer:

By Angle Sum Property

4x+(2x+30)+(5x-15)=180˚

11x+15=180

11x=165

 x=15

Then, angles are:-

4x=60˚

2x+30=60˚

5x-15=60˚

Since all angles are equal, this triangle is equilateral.

Answer 2

Step-by-step explanation:

In a triangle sum of all angles is equal to 180 degrees

4x+2x+30+5x-15=180

by solving

x=15 degrees

then each angle is equal to 60 degrees