Answer
The angles 1 and 2 equal $82^{\circ}$. The angles 3 and 5 equal $98^{\circ}$.
Work Step by Step
Since angles 4 and 1 are exterior alternate, then they are equal. That is, the measure of 1 is $82^{\circ}$.
Since angles 5 and 4 are supplementary, then the measure of angle 5 is $180-82=98^{\circ}$.
Since angles 1 and 2 are vertical, then they are equal. That is, the measure of angle 2 is $ 82^{\circ}$.
Since angles 3 and 5 are interior alternate, then they are equal. That is, the measure of angle 3 is $98^{\circ}$.