The sum of the measures of two vertical angles is 300°

Question

. Solve for the measure of each angle.(1 point)
Responses

90°
90 degrees

150°
150 degrees

120°
120 degrees

75°

Answer 1

Vertical angles are always equal to each other. If the sum of the measures of two vertical angles is 300°, you can set up the equation:

Let \( x \) be the measure of one of the angles. Then the other angle is also \( x \). So we have:

\[ x + x = 300° \] \[ 2x = 300° \] \[ x = 150° \]

Thus, the measure of each angle is 150°.

So, the correct response is:

150°.