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

Responses

150°
150 degrees

90°
90 degrees

120°
120 degrees

75°

75 degrees

wrong

I apologize for the incorrect response. Let's solve the problem correctly.

Vertical angles are formed by intersecting lines and are always equal in measure. If the sum of their measures is 300°, then each angle must have a measure of half of that, which is 150°.

Therefore, the measure of each angle is 150°.

nope

I'm sorry for the earlier incorrect response. Let's try solving the problem again.

Let's represent the measure of one angle as x. Since vertical angles are equal in measure, the measure of the other angle would also be x.

We know that the sum of the measures of the two angles is 300°.

So, we can write the equation:
x + x = 300

Simplifying,
2x = 300

Dividing both sides by 2,
x = 150

Therefore, the measure of each angle is 150°.