My son has a math problem: If a trapezoid has 2 right angles, what are the other 2 (ex accute and obtuse).

My son has a math problem: If a trapezoid has 2 right angles, what are the other 2 (ex accute and obtuse).

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A trapezoid is a quadrilateral. All quadrilaterals have four angles whose sum is 360 degrees. If two of the angles are right angles, that accounts for 180 degrees of the total. Therefore, the other two angles must total 180 degrees as well. Any combination of angles/degrees that equals 180 would work assuming the figure is closed and the object follows the rules of a trapezoid: A trapezoid is a quadrilateral with one pair of parallel lines. It could be imagined that one angle is Acute <90(but NOT including 90)degrees and the other Obtuse: an angle >90 (but NOT including 90)degrees and <180.

Joyce, your son has been presented with a "right" trapezoid, where two adjacent angles are right angles (90 degrees each). The sum of all four interior angles = 360. Because the two right angles = 180, the sum of the remaining two angles must = 180; one must be acute, the other obtuse.

Leslie...It appears to me that the question was just looking for the total of the other two angles so you were correct just with the 180.

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## Comments

I'm voting 1.5 times for John's answer b/c1. it is elegant and uses few words and2. b/c he costs the least, but David, like an engineer, drew us apicture that helps explain the basic trapezoidal properties.My answer, when in hS, would have been:"They are any two complementary angles that add up to 180, except 90 and 90."