Question

Lines m and n are parallel.

Lines m and n are parallel. Lines k and l intersect lines m and n to form a triangle. At the intersection of lines k, l, and m, clockwise from top left, the angles are 50 degrees, blank, 55 degrees. In the triangle the bottom left angle formed by lines k and n is 1.

What is Measure of angle 1?
35 degrees
50 degrees
55 degrees
75 degrees

Answer 1

75 degrees.

Reason: At the intersection of k and l the third angle is 180 - (50 + 55) = 75. That angle corresponds (by alternate interior / corresponding angle relationships) to angle 1 because m and n are parallel, so angle 1 = 75°.