The sum of the measures of two vertical angles is 300°. Solve for the measure of each angle.
(1 point)
A• 120°
B• 90°
C• 150°
D• 75°
Let's call one angle x and the other angle y.
According to the problem, the sum of the measures of the two vertical angles is 300°.
This can be expressed as the equation: x + y = 300°.
Since the angles are vertical angles, they are congruent, which means they have the same measure. Thus, we can also express this as: x = y.
Now we can substitute x for y in the equation x + y = 300°, giving us: x + x = 300°.
Simplifying, we get: 2x = 300°.
Dividing both sides by 2, we find: x = 150°.
Since x = y, we know that y is also 150°.
Therefore, the measure of each angle is 150°.
The correct answer is C) 150°.