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?
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.