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Based on the given information determine which sides of quadrilateral ABCD must be parallel

Based on the given information determine which sides of quadrilateral ABCD must be-example-1
User JimSan
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1 Answer

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15 votes

Answer: AB || DC (1st choice)

Reason:

  • Angles A and D add to A+D = 59+121 = 180
  • Angles B and C add to B+C = 37+143 = 180

We have two pairs of consecutive interior angles that are supplementary. We then use the converse of the consecutive interior angles theorem to conclude side AB is parallel to DC. This means ABCD is a trapezoid.

Refer to the diagram below.

Based on the given information determine which sides of quadrilateral ABCD must be-example-1
User Xuanyuanzhiyuan
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