Question

The angles of a triangle are 3xº, (2x + 20° and (5x - 40)º. Find the angles. Hence show
that the triangle is an equilateral triangle.
​

Answer 1

Answer:

We know that the sum of all three angles of a triangle always equals to 180 degrees. So, the given triangle is an equilateral triangle because all the three angles are of 60°. Hence proved.

Step-by-step explanation:

The angles of a triangle are 3x, (2x+20), and (5x-40).Find the angles. Show that the triangle is an equilateral triangle."

Angles of a triangle add up to 180.

3x + 2x + 20 + 5x - 40 = 180 {sum of angles equals 180}

10x - 20 = 180 {combine like terms}

10x = 200 {added 20 to both sides}

x = 20 {divided both sides by 10}

Substitute 20, in for x, into sides

3x = 60

2x + 20 = 60

5x - 40 = 60

It is an equilateral triangle because all of the angles are equal}

hope it helps you

PLEASE MARK AS BRAINLIEST