Question 86·Easy·Geometry and Trigonometry

Corresponding and alternate interior angles are equal, but same-side interior angles add to $180^\circ$.

If the angles are same-side interior, write $52 + b = 180$ and solve.

In the expression line, type 180-52.

The value Desmos displays is the measure of $b$ (the angle that forms a supplementary pair with $52^\circ$).

The $52^\circ$ angle and the $b^\circ$ angle lie between the parallel lines $p$ and $q$ on the same side of the transversal, so they are same-side interior angles and are supplementary:

Subtract $52$ from both sides:

So, the value of $b$ is 128.