SOLUTION: If two consecutive angles of a parallelogram are in the ratio 2:3,find the measure of each angle of the parallelogram

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Question 1131437: If two consecutive angles of a parallelogram are in the ratio 2:3,find the measure of each angle of the parallelogram
Answer by htmentor(1343) About Me  (Show Source):
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Two consecutive angles of a parallelogram add up to 180 deg.
The ratio of the angles = 2/3.
Let x = the larger angle
Thus x + (2/3)x = 180
Solving for x gives x = (3/5)180 = 108
Therefore the smaller angle = (2/3)108 = 72