Question

Solve for x using the image shown below:

Answer 1

x = 20

Explanation:

All angles are equal in an equilateral triangle

180/3 = 60

4x - 20 = 60

4x = 80

x = 20

Answer 2

Given:

The given triangle has three equal sides. Thus, the given triangle is an equilateral triangle.

The measure of one angle is (4x - 20)°

Since, it is an equilateral triangle, then all the three sides will be equal.

We need to determine the value of x.

Value of x:

The value of x can be determined using the triangle sum property.

Thus, we have;

`(4x-20)^(\circ)+(4x-20)^(\circ)+(4x-20)^(\circ)=180^(\circ)`

Simplifying, we have;

`4x-20+4x-20+4x-20=180`

Adding the like terms, we have;

`12x-60=180`

`12x=240`

`x=20`

Thus, the value of x is 20