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Angle Measures in a Scalene Trapezoid

publish date: 2026/05/16 01:15:6.639849 UTC

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For the non-isosceles (scalene) trapezoid drawn below, the top and bottom edge segments are parallel lines. Use angle relationships to solve for the missing values and match each unknown interior angle letter to its exact numerical degree measure.

62°48°xy

To complete the line match

  1. Click on an item in the first group
  2. Click on the match in the second group

To delete a match, double click on a line

Angles

Angle x
Angle y

Measures

118°
132°

Correct Answer

(1) Angle x,118°
(2) Angle y,132°

Explanation

In a trapezoid, the pairs of angles that border the left and right individual leg segments are independent pairs of consecutive interior angles. Each pair independently sums to \(180^\circ\).

• For the left leg pair:
\[ x = 180^\circ - 62^\circ = 118^\circ \]
• For the right leg pair:
\[ y = 180^\circ - 48^\circ = 132^\circ \]

Reference

Mathematics for college students, go-math-science.com

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