Question

The sum of the measures of two vertical angles is 300° . Solve for the measure of each angle.(1 point) Responses 120° 120 degrees 75° 75 degrees 90° 90 degrees 150°

Answer 1

Let's represent the two vertical angles as angle A and angle B.

According to the problem, the sum of the measures of the two vertical angles is 300°.
So, we can write the equation as:
A + B = 300

Since vertical angles are congruent, meaning they have the same measure, we can also write the equation as:
A = B

Substituting this into the first equation, we have:
A + A = 300
2A = 300
A = 300/2
A = 150

Therefore, angle A measures 150°.

Since angle A and angle B are congruent, angle B also measures 150°.

So, the measure of each angle is 150°.