Question

Look at this figure. Find the value of X.

Answer 1

x=15

Explanation:

Since the sides are equal, the angles must be equal, so

3x = 5x - 30

Solve and get:

3x - 5x = - 30

2x = 30

x = 15

Answer 2

In the figure, both angles are the same since there is a little line on both sides of the figure. That means that they are the same in length. This also tells us that both angles will have the same measure.

We can write an equation as:

3x = 5x - 30

Solve for x:

3x = 5x - 30

~Subtract 5x to both sides

3x - 5x = 5x - 5x - 30

~Simplify

-2x = -30

~Divide -2 to both sides

-2x/-2 = -30/-2

~Simplify

x = 15

Best of Luck!