Question

If ∠2 = 36°, what is the measure of ∠7? *16°26°36°126°144°

Answer 1

Angle 6 and angle 2 are corresponding (have the same value) we can simply find our answer with this easy equation knowing 180 degrees makes up a straight angle:
(180-36)
144 degrees is our solution :)

Answer 2

Angle 2 and Angle 7 are interior angles.

We know, they add up to 180 degrees.

From the figure, we can write:

`\angle2+\angle7=180\degree`

We know ∠2 = 36°, so,

`\begin{gathered} \angle2+\angle7=180\degree \\ 36\degree+\angle7=180\degree \\ \angle7=180-36 \\ \angle7=144\degree \end{gathered}`

The 'last choice' is right.

So,

Answer
`\angle7=144\degree`