Question

6. Given the angles in the diagram below, what is the measurement of Angle 2?* 46 * 82 * 98 * 180

Answer 1

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.

`\text{ }\angle1\text{ + }\angle2=180^(\circ)`

Note 2: If two parallel lines are cut by a transversal, then the corresponding angles formed are congruent.

`\text{ }\angle1=82^(\circ)`

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.