The sum of the measures of two vertical angles is 300° . Solve for the measure of each angle.(1 point) Responses 120° 120 degrees 75° 75 degrees 150° 150 degrees 90°
Let's call the measures of the two vertical angles x and y.
According to the given information, x + y = 300°.
Since vertical angles have equal measures, we can also write this as x = 300° - y.
To solve for the measure of each angle, we will substitute the second equation into the first equation:
300° - y + y = 300°.
Simplifying this equation gives us:
300° = 300°.
This is a true statement, which means that any values of x and y that satisfy the equation x + y = 300° will work.
Therefore, there are infinitely many possible solutions for x and y.
Thus, the answer cannot be determined based on the given information.
300 isnt a answer
Apologies for the confusion. You are correct. The equation x + y = 300° still holds.
However, since vertical angles are equal, we can also write it as x = y.
Substituting this into the equation x + y = 300°, we get x + x = 300°, which simplifies to 2x = 300°.
Dividing both sides of the equation by 2, we find x = 150°.
Since the vertical angles are equal, the measure of each angle is 150°.
So, the correct answer is: 150 degrees.