Question

Someone please quickly help me with this one

Answer 1

Hello!

If we want our lines to be parallel, they must equal 180°, as they are supplementary measures. Let's set this up as an equation and solve for x.

10x-40+50=180

We subtract 50 from both sides.

10x-40=130

We add 40 to both sides.

10x=170

We divide both sides by 10.

x=17

Therefore, our answer is x=17.

I hope this helps!

Answer 2

The two angles are same-side angles, which means they add up to 180 degrees based on the Same-Side Interior Angles Theorem. The Theorem states that a pair of angles on one side of the transversal line are supplementary angles.

Make the two angles add up to 180 in an equation.

(10x - 40) + 50 = 180

Combine like terms (-40 + 50).

10x + 10 = 180

Subtract 10 from both sides.

10x = 170

Divide both sides by 10.

$\boxed {x = 17}$