Question

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?
Answered by i dont like boys
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?(1 point)
Answered by GPT 3.5
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°.