Question

Solve for x in each figure below using Angle Pair Relationships.

Answer 1

We have the all too familiar parallel pair cut across by a transversal that gives us a system of supplementary and equal angles.

In this case, 132 degrees is equal to the angles that are corresponding and alternate to (x + 39), thus, making 132 degrees and (x + 39) degrees supplementary angles, i.e, add up to 180 degrees.

`\begin{gathered} (x+39)+132=180 \\ x+171=180 \\ We\text{ subtract 171 from both sides to get} \\ x=180-171=9 \end{gathered}`

x = 9