Question

Solve for x using the image shown below:

Answer 1

Answer:

x = 20

Step-by-step 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