Question

Use the figure to answer the question.

An illustration shows a right inclined transversal passing through two parallel lines labeled upper M and upper N. Four angles are formed at the intersections of the transversal with upper M and upper N.
▶Click for Long Desc

If M
and N
are parallel and angle 1 is 135°
, what is the sum of angle 6 and angle 8?

(1 point)

°

Incorrect

Since M and N are parallel, angle 1 and angle 8 are the same.

Answer 1

180°

Explanation: Angle 8 corresponds (via vertical + corresponding relationships) to angle 1, so angle 8 = 135°. Angle 6 is adjacent to the corresponding angle and is supplementary, so angle 6 = 45°. Thus 135° + 45° = 180°.