Question

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

Answer 1

Answer:

Hope it helps uh............

Answer 2

Answer:

Angles : 4xº , (2x + 30)° and (5x - 15).​

Now,

we know that,angles of a triangle sum up to 180 degrees

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

=11x+15=180

=11x=180-15

=11x=165

=x=165/11

=x=15

So,the angles are,

4x=4*15=60

2x+30=2(15)+30=30+30=60

5x-15=5(15)-15=75-15=60

And we know that angles of an equilateral triangle are equal and are 60 degrees each.

So,in this triangle too,the angles are equal and are 60 degress each.

Hence,it is proved that the triangle is an equilateral triangle.