Question

If m 24 is 53°, what is the m26?

Answer 1

m∠8 = 49°

Explanation:

∠7 and ∠8 are same-side interior angles.

Remember, same-side interior angles are supplementary. This means that the sum of the angles is 180°.

Let's use the variable 'x' to represent the unknown measure of angle ∠8.

`131 +x=180`

`131-131=0` (cancels itself out)

`180-131=49`

`x=49`

Therefore, the measure of ∠8 is 49°.