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 represent the measure of each angle as \( x \). Therefore, you can set up the following equation:

\[ x + x = 300° \]

This simplifies to:

\[ 2x = 300° \]

Now, solve for \( x \):

\[ x = \frac{300°}{2} = 150° \]

Thus, the measure of each angle is 150°.