Question

Line x is parallel to line y as shown in the diagram below. The measure of angle 1 = x+10 and the measure of angle 2 = 5x+50. What

is the actual measure of angle 1?

Answer 1

angle 1 = 30°

Explanation:

Where a transversal crosses parallel lines, consecutive interior angles are supplementary. That means angles 1 and 2 total 180°.

(x +10)° +(5x +50)° = 180°

6x +60 = 180 . . . . . . . . . . . divide by °, collect terms

x +10 = 30 . . . . . . . . . . . divide by 6

The measure of angle 1 is x+10, so is 30°.