Question

What is the answer to the question

Answer 1

The angles given are opposite each other and are known as "vertical angles." Vertical Angles are congruent meaning that they have the same measure. So, we can just set the two expressions equal to each other and solve for x, like this:
$4x+50=150$

Subtract 50:
$4x=100$

Divide by 4:
$x = \frac{100}{4} = 25$

Thus, x = 25°.

Answer 2

Hello!

As you can see, the angles are congruent. These kind of angles are called vertical angles.

Vertical angles are angles opposite of each other. They always measure the same.

One of the angles measure 150°. That means the other angle also measures 150°.

4x + 50 = 150

150 - 50 = 100

That means 4x is equal to 100°

Divide both sides by 4

$\frac{4x}{4} = \frac{100}{4}$

$\framebox{x = 25 \°}$