Question

It says solve for x then find the measure of the angle given

Answer 1

In order to solve for x, first let's find the vertical angle to the given angle of 83°.

Vertical angles are congruent, therefore the vertical angle also measures 83°.

Now, comparing angle x and the vertical angle we found, they are consecutive interior angles, therefore they are supplementary angles.

Supplementary angles have a sum equal to 180°, so we have:

`\begin{gathered} 83+x=180 \\ x=180-83 \\ x=97° \end{gathered}`

Angle mthe measure of m