Question

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

Answers

GPT 3.5
Two angles are vertical angles if they are opposite each other when two lines intersect. Since vertical angles are congruent, we can let one angle be x, and the other angle will also be x.

The sum of the measures of the two angles is given as 300°, so we can set up the equation:

x + x = 300°

2x = 300°

Dividing both sides by 2, we get:

x = 150°

Therefore, each angle measures 150°.