Answer :

Answer:

Since all three of the interior angles are the same degree, the three sides must be the same length. So, 3x - 5, 4x - 30, and 2x + 20 must be equal.

To solve for x, you can just set one of the sides equal to another one of the sides. I will do 3x - 5 and 4x - 30.

3x - 5=4x - 30

Add 5 to both sides.

3x = 4x - 25

Subtract 4x from both sides.

-x = -25

Divide both sides by -1.

x=25

:)

Answer:

[see below]

Step-by-step explanation:

The triangle shown is equilateral, as all three angles are marked congruent.

This means that the sides are equal to each other.

[tex]4x - 30 = 2x + 20\\\rule{150}{0.5}\\4x - 2x - 30 = 2x - 2x + 20\\\\2x - 30 = 20\\\\2x -30 + 30 = 20 + 30\\\\2x = 50\\\\\frac{2x=50}{2}\\\\\boxed{x = 25}[/tex]

Hope this helps you.