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? Please answer correctly this time

Answer 1

To solve for the value of each angle, let's assume that ∠2 and ∠4 have measures x and y, respectively.

Since ∠2 and ∠4 are a vertical pair, they are congruent, so x = y.

It is given that the sum of their measures is equal to 110°, so we can write the equation:

x + y = 110°

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

x + x = 110°

Simplifying,

2x = 110°

Dividing both sides by 2,

x = 55°

Now, we can substitute the value of x back into the equation to solve for y:

55° + y = 110°

Subtracting 55° from both sides,

y = 55°

Therefore, the value of each angle is 55°.

Answer 2

What is the equation

Answer 3

The equation to solve for the value of each angle is:

x + y = 110°