Digital PSAT Math Practice Question 186: Answer and Explanation

Question: 186

A parallelogram has one interior angle that measures 50 degrees. What is the measure of the largest interior angle of the parallelogram?

• A. 130 degrees
• B. 150 degrees
• C. 250 degrees
• D. 310 degrees

Correct Answer: A

Explanation:

(A) A parallelogram has two sets of equivalent interior angle measures. Also, it is a quadrilateral that has a total interior angle measure of 360 degrees. Since one of the interior angles is 50 degrees, one of the other angles will also be 50 degrees. The other two angles will then add up to a total measure of 360 - 2(50) = 260 degrees. Solve for the larger angle by dividing 260 by 2: