How to find angles of a trapezoid
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Find the measure of angle x in the isosceles trapezoid pictured below.
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Possible Answers:
108∘
36∘
118∘
72∘
18∘
Correct answer:
108∘
Explanation:
The sum of the angles in any quadrilateral is 360°, and the properties of an isosceles trapezoid dictate that the sets of angles adjoined by parallel lines (in this case, the bottom set and top set of angles) are equal. Subtracting 2(72°) from 360° gives the sum of the two top angles, and dividing the resulting 216° by 2 yields the measurement of x, which is 108°.
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