Question

Identify the angle relationship of each pair solve for x and find the measure of the angle indicated

Answer 1

The given angles are correspoding angles because they are at the same side of the transversal and one is interior to the parallels and the other one is exterior to the parallel.

By corresponding angles, we can deduct that these angles are congruent

`17x+1=18x-6`

We solve for x

`\begin{gathered} 1+6=18x-17x \\ x=7 \end{gathered}`

To find each angle, we use the x-value.

`17x+1=17\cdot7+1=120`

Hence, each angles measures 120°.