The sum of the measures of two vertical angels is 300°. Solve for the measure of each angle.
A. 120°
B. 90°
C. 150°
D. 75°
Let's represent the measures of the two vertical angles as x and y. We are given that the sum of their measures is 300°.
So the equation can be written as:
x + y = 300
Now, since vertical angles are congruent, we can also say that x = y.
Substituting y for x in the equation, we get:
y + y = 300
2y = 300
y = 150
Therefore, the measure of each angle is 150°.
The answer is C. 150°.