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Question 1035845: The measures of the obtuse angles in the isosceles trapezoid are five more than four times the measures of the acute angles. Write and solve a system of equations to find the measures of all the angles.
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! A trapezoid (in some languages) is a quadrilateral with two parallel sides.
In general, all four angles could have different measures,
but the angles attached to each non-parallel side are supplementary,
meaning that their measures add up to  .
In this case, the acute angles have the same measure,  ,
and so do the obtuse angles, because it is an isosceles trapezoid.
 = four times the measures (in degrees) of the acute angles;
 = five more than the measures (in degrees) of the acute angles,
and the problem says that
 ,
so all we have to do is solve that equation.
 ---> ---> 
So the acute angles measure  ,
and the obtuse angles measure  .
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