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

150
90
120
75

1 answer

Since vertical angles are equal, we can denote the measures of the two vertical angles as \( x \) and \( x \) (since they are the same).

Given that the sum of the two angles is 300 degrees, we can set up the equation:

\[ x + x = 300 \]

This simplifies to:

\[ 2x = 300 \]

Now, we divide both sides by 2:

\[ x = 150 \]

Thus, the measure of each angle is 150 degrees.

So the answer is 150.