Question

Find m26 if m/1 = 112°

Select the correct response:
m26 = 68°
m26 = 112°
m/6 = 78°
m/6 = 22°

Answer 1

Answer: m<6 = 68 degrees

Explanation:

Angle 1 is supplementary to angle 4 because they are the product of two intersecting lines. This means angle 1 + angle 4 = 180 degrees. Subtract 112 from 180. 180-112 = 68. Angle 4 is 68 degrees.

The alternate interior angle theorem states that angles on the inside of the two parallel lines will be the same as the ones diagonal from them (4 = 6, 3 = 5 for this example). Since angle 4 is congruent to angle 6, angle 6 also measures 68 degrees.