One angle of isosceles trapezoid has a measure of 50° what are the measure of other angles?

Question

My teacher said that there are 3 answers

 

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Answer 1

An isosceles trapezoid consists of 2 congruent right triangles and 1 rectangle.

 

The angles of the triangles are 50, 40, and 90.  Knowing that, we can get the obtuse angle of the trapezoid.

 

The obtuse angle is the sum of 90 degrees and one of the other two angles.  It could be

 

90 + 50 = 140       (If base angle of triangle is 40)

 

           or

 

90 + 40 = 130        (If base angle of triangle is 50)

 

40 is the acute angle of the trapezoid.  This all depends on the orientation.

 

The three angles that your teacher was talking about are 40, 130, and 140.