SOLUTION: Parallelogram ABCD has obtuse angles that are twice as big as the acute angles. What is the measurement of each acute angle?

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Question 750492: Parallelogram ABCD has obtuse angles that are twice as big as the acute angles. What is the measurement of each acute angle?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = measure of acute angle, so 2x is the obtuse angle (since it's twice as big). Adjacent angles in a parallelogram add to 180 degrees, so we can say

x + 2x = 180 ... now solve for x

3x = 180

x = 180/3

x = 60

2x = 2*60

x = 120

So the obtuse angles are 120 degrees and the acute angles are 60 degrees