SOLUTION: Two consecutive angles of a parallelogram are in the ratio 2:3. What is the measure of the smaller angle? A.32 B 72 C 108 D 90

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Question 328673: Two consecutive angles of a parallelogram are in the ratio 2:3. What is the measure of the smaller angle?
A.32 B 72 C 108 D 90
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
If the sides are in the ratio of 2:3, then let 2x be the smaller angle, and 3x be the larger. Now, the sum of these angles is 180 degrees.

2x+3x=180
5x=180
x=36 degrees

The angles are 2x=72 degrees, and 3x=108 degrees.

Check: See if they add up to 180. 72+108=180. It checks.

Dr. Robert J. Rapalje