If ∠2 and ∠4 are a vertical pair, it means they are opposite each other and have the same measure. Let's say the measure of both angles is x.
Since the sum of their measures is equal to 110°, we can write the equation:
x + x = 110°
Simplifying, we get:
2x = 110°
Dividing both sides of the equation by 2, we find:
x = 55°
Therefore, the value of each angle (∠2 and ∠4) is 55°.
Two intersecting lines create four angles; ∠2 and ∠4 are a vertical pair. Their sum of their measures is equal to 110° . What equation w ill solve for the value of each angle?(1 point)
3 answers
2x = 110°
Apologies for the mistake in the previous response. You are correct.
If the sum of the measures of ∠2 and ∠4 is equal to 110°, we can represent the measure of ∠2 as x and the measure of ∠4 as y.
∠2 + ∠4 = 110°
Since ∠2 and ∠4 are a vertical pair, they are equal in measure, so ∠2 = ∠4.
Hence, the equation that solves for the value of each angle is:
x + y = 110°
If the sum of the measures of ∠2 and ∠4 is equal to 110°, we can represent the measure of ∠2 as x and the measure of ∠4 as y.
∠2 + ∠4 = 110°
Since ∠2 and ∠4 are a vertical pair, they are equal in measure, so ∠2 = ∠4.
Hence, the equation that solves for the value of each angle is:
x + y = 110°