From the given diagram, it appears that Angle 1 and 82° are pairs of corresponding angles and Angle 1 and Angle 2 are supplementary.
Note 1: If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary.
[tex]\text{ }\angle1\text{ + }\angle2=180^{\circ}[/tex]
Note 2: If two parallel lines are cut by a transversal, then the corresponding angles formed are congruent.
[tex]\text{ }\angle1=82^{\circ}[/tex]
To find the measurement of Angle 2, you equate the measurement of Angle 1 to the formula in Note 1 since the 1 and 2 are supplementary.
Angle 2 = 180 - 82 = 98 degrees.
The answer is letter C.
