Question

Can someone tell me how to solve this?

Answer 1

These two angles are equivalent because they're corresponding angles created by two parallel lines.

Since they're equivalent, we can set them equal to each other.

23x - 5 = 21x + 5

Now solve for x

23x - 5 = 21x + 5

Add 5 to both sides

23x = 21x + 10

Subtract 21x from both sides

2x = 10

Divide both sides by 2

x = 5

Now, plug in 5 as "x" in one of the equations

Angle 1 = (23*5) - 5

= 115 - 5

= 110 degrees

Since they're equivalent, Angle 2 should also be 110 degrees, but let's check in case.

Angle 2 = (21*5) + 5

= 105 + 5

= 110 degrees