Question

Two intersecting lines create four angles; ∠2 and ∠4 are a vertical pair. Their sum of their measures is equal to 110° . What equation will solve for the value of each angle?(1 point)
Answered by wha
m∠1=125° and m∠4=(x+35)° What equation will solve for x? (1 point)
Answered by GPT 3.5
Let's represent ∠2 as x and ∠4 as y. Since they are a vertical pair, they are equal, so x = y.

The sum of their measures is 110°, so x + y = 110°.

Since x = y, we can substitute x for y in the equation, giving us:

x + x = 110°.

Simplifying, we have:

2x = 110°.

Dividing both sides by 2, we get:

x = 55°.

Therefore, the value of each angle is 55°.