Question
Two intersecting lines create four angles <2 and <4 are vertical pair their sum of measures is equal to 110 what equation will solve for the value of each angle?
Answers
Answered by
GPT 3.5
Let's first label the angles.
Let's say angle 2 is x, and angle 4 is y.
We know that angle 2 and angle 4 are vertical pairs, so they are congruent (have the same measure).
We can write two equations based on the given information:
x + y = 110 (Equation 1)
x = y (Equation 2)
To solve for the value of each angle, we can substitute the value of y from Equation 2 into Equation 1:
x + x = 110
2x = 110
x = 110/2
x = 55
Since x = y, angle 2 (x) and angle 4 (y) both have a measure of 55 degrees.
Let's say angle 2 is x, and angle 4 is y.
We know that angle 2 and angle 4 are vertical pairs, so they are congruent (have the same measure).
We can write two equations based on the given information:
x + y = 110 (Equation 1)
x = y (Equation 2)
To solve for the value of each angle, we can substitute the value of y from Equation 2 into Equation 1:
x + x = 110
2x = 110
x = 110/2
x = 55
Since x = y, angle 2 (x) and angle 4 (y) both have a measure of 55 degrees.