Question

Two intersecting lines, create four angles, one and three are a vertical pair. The sum of the measures is equal to 68 what equation sauce for the value of each angle

Answer 1

Let's denote the four angles as angle 1, angle 2, angle 3, and angle 4.

We know that angle 1 and angle 3 are a vertical pair, which means they have equal measures. Let's represent the measure of angle 1 and angle 3 as 'x'.

Given that the sum of the measures is equal to 68, we can write the equation:

Angle 1 + Angle 2 + Angle 3 + Angle 4 = 68

Since angle 1 and angle 3 have equal measures, we can replace angle 3 with 'x':

x + Angle 2 + x + Angle 4 = 68

Further simplifying, we have:

2x + Angle 2 + Angle 4 = 68

So, the equation to solve for the value of each angle is:

2x + Angle 2 + Angle 4 = 68