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### Geometry3.11 Trapezoid

#### Trapezoid/Trapezium

\ ÐA + Ð D = 180° and Ð B + Ð C = 180°.

Example:

Solution:
Since AB is parallel to CD, we have
Ð A + Ð D = 180° and Ð B + Ð C = 180°.
So Ð D = 180° - Ð A = 180° - 50°
Ð D = 130°
Ð B + Ð C = 180°
Ð C = 180° - Ð B
Ð C = 180° - 70°
Ð C = 110°

Directions:
• Draw a trapezoid and explain the different properties of a trapezium, in your own words, with examples.

 Name: ___________________Date:___________________

### Geometry3.11 Trapezoid

 Q 1: In a trapezoid ABCD, AB is parallel to CD. If angle A = 120 degrees and angle B = 90 degrees, find angle C and angle D.60 degrees and 130 degrees Respectively90 degrees and 60 degrees Respectively100 degrees and 70 degrees Respectively Q 2: In a trapezoid ABCD, AB is parallel to CD. If angle D = 80 degrees and angle C = 70 degrees, find angle A and angle B.100 degrees and 110 degrees Respectively90 degrees and 105 degrees Respectively70 degrees and 90 degrees Respectively Q 3: In a trapezoid ABCD, AB is parallel to CD. If angle D = 90 degrees and angle C = 75 degrees, find angle A and angle B.100 degrees and 110 degrees Respectively70 degrees and 90 degrees Respectively90 degrees and 105 degrees Respectively Q 4: In a trapezoid ABCD, AB is parallel to CD. If angle D = 110 degrees and angle C = 90 degrees, find angle A and angle B.70 degrees and 90 degrees Respectively100 degrees and 110 degrees Respectively90 degrees and 105 degrees Respectively Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!

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