Two intersecting lines create four angles; ∠1 and ∠3 are a vertical pair. Their sum of their measures is equal to 68° . What equation solves for the value of each angle?
Since ∠1 and ∠3 are a vertical pair, they are congruent. Let's denote the measure of each angle as x.
So, ∠1 = x and ∠3 = x.
The sum of their measures is 68°, which can be written as:
x + x = 68
Simplifying the equation:
2x = 68
Dividing both sides by 2:
x = 34
Therefore, each angle, ∠1 and ∠3, has a measure of 34°.