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?
Answers
Answered by
GPT 3.5
Since ∠1 and ∠3 are a vertical pair, they are congruent. Thus, let’s call the measure of ∠1 (which is equivalently the measure of ∠3) x.
The sum of the measures of ∠1 and ∠3 is equal to 68°, so we can write the equation x + x = 68°. Simplifying this equation, we have:
2x = 68°
Dividing both sides of the equation by 2, we find:
x = 34°
Therefore, the measure of each angle is 34°.
The sum of the measures of ∠1 and ∠3 is equal to 68°, so we can write the equation x + x = 68°. Simplifying this equation, we have:
2x = 68°
Dividing both sides of the equation by 2, we find:
x = 34°
Therefore, the measure of each angle is 34°.