Question

Find the value of x. please show your work

Answer 1

Answer:x = 60

Step-by-step explanation:

The given triangle is an equilateral triangle. This is so because all the angles are equal. This also means that all the sides are equal.

The sum of the angles on a straight line is 180 degrees. Assuming each angle of the equilateral triangle is y degrees, it means that

y + 2x = 180

y = 180 - 2x

The sum of the angles in a triangle is 180 degrees. It means that

y + y + y = 3y = 180

This means that

3(180 - 2x) = 180

540 - 6x = 180

6x = 540 - 180 = 360

x = 360/60 = 60