The largest interior angle in an isosceles trapezoid is 5 times the measure of the smallest interior angle. What is the measure, in degrees, of the smallest interior angle in the trapezoid?
Angles in a quadrilateral add up to 360. In this case, since it's an isosceles trapezoid, the 2 biggest angles are going to be congruent and so are the 2 smallest angles.
Therefore, we can set up an equation where x is equal to the smallest angle:
Therefore, the angle of the smallest interior angle in the trapezoid is 30 degrees.
These angles will sum to 180°
x + 4x = 180
5x = 180
x = 36° measure of smaller interior angle Should be close
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