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Question 34781This question is from textbook Elementary and Intermediate Algebra
: This one is a parralelogram: The 2 smaller angles of a parrallelogram have equal measures, and the two larger angles each measure 27 degrees less than twice each smaller angle. Find the measure of each angle.
This question is from textbook Elementary and Intermediate Algebra
Answer by hydromojo(20)   (Show Source):
You can put this solution on YOUR website! The sum of interior angles of any polygon = 180*(# of sides - 2)
In this case, the sume = 180*(4-2) = 360
let two smaller angles = x degree each,
then , the two bigger anlges will be 2x-27 degrees
adding them all, we get
2(x) + 2(2x-27) = 360,
solve for x, you get
smaller angle = x = 51 degrees
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