Question

The sum of the measures of two vertical angles is 300°
. Solve for the measure of each angle.(1 point)
Responses

150°
150 degrees

75°
75 degrees

90°
90 degrees

120°

Answer 1

Vertical angles are equal to each other. If the sum of the measures of two vertical angles is 300°, we can denote the measure of each angle as \( x \).

The equation can be set up as follows:

\[
x + x = 300°
\]

This simplifies to:

\[
2x = 300°
\]

To find the measure of each angle, divide both sides by 2:

\[
x = 150°
\]

So, the measure of each vertical angle is 150°.

The correct response is:

150°