Question 28 Answer and Explanation _ACT April 2014 Form 71H Math Section

28. Distinct lines $l$ and m intersect, forming 4 pairs of adjacent angles. Which of the following statements must be true about these 4 pairs of angles?

F. The difference of the angle measures in each pair is less than 45°.

G. The difference of the angle measures in each pair is 90°.

H. The measure of each angle in each pair is 45°.

J. The sum of the angle measures in each pair is 90°.

K. The sum of the angle measures in each pair is 180°.

Answer and Explanation

Your Answer is

Correct Answer is K

Explanation

Two lines intersect to form 4 corners. If two adjacent corners count as one set, there should be four sets. The two angles in each set add up to a straight line, 180 degrees. Therefore K.