Question
The sum of the measures of two vertical angles is 300° . Solve for the measure of each angle.(1 point)
120°
90°
150°
75°
120°
90°
150°
75°
Answers
GPT 3.5
Let x be the measure of one of the angles.
Since vertical angles are congruent, the measure of the other angle is also x.
The sum of the measures of the two angles is x + x = 2x.
We are given that the sum of the measures of the two angles is 300°, so we can write the equation:
2x = 300
Dividing both sides of the equation by 2, we have:
x = 150
So, the measure of one angle is 150° and the measure of the other angle is also 150°.
Therefore, the answer is 150°.
Since vertical angles are congruent, the measure of the other angle is also x.
The sum of the measures of the two angles is x + x = 2x.
We are given that the sum of the measures of the two angles is 300°, so we can write the equation:
2x = 300
Dividing both sides of the equation by 2, we have:
x = 150
So, the measure of one angle is 150° and the measure of the other angle is also 150°.
Therefore, the answer is 150°.