102k views
2 votes
Identify the angle relationship of each pair solve for x and find the measure of the angle indicated

Identify the angle relationship of each pair solve for x and find the measure of the-example-1
User Reymond
by
7.1k points

1 Answer

6 votes

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°.

User Koosha
by
7.2k points