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jmc

geometry junior

Problem

The acute angles of a particular isosceles trapezoid each measure 40 degrees. What is the measure, in degrees, of each obtuse angle in the trapezoid?
Solution
In an isosceles trapezoid, there are two pairs of congruent angles. Let and be the distinct angle measures. Since the angles of a quadrilateral sum to 360, we have . Setting we find degrees.
Final answer
140