Question

Lines a and b are parallel and lines e and f are parallel.

Horizontal lines e and f are intersected by lines a and b. At the intersection of lines a and e, the uppercase left angle is 82 degrees, and the bottom left angle is 98 degrees. At the intersection of lines b and e, the bottom right angle is x degrees.

What is the value of x?

8
82
98
172

Answer 1

82

Reason: At the a–e intersection the top-left 82° and the bottom-right angle are vertical (opposite) angles, so that bottom-right is 82°. Since a ∥ b and e is a transversal, the bottom-right angle at b–e (x) corresponds to that bottom-right at a–e, so x = 82°.