Parallelogram: find the missing angles

An example figure from the Parallelogram Generator.

A parallelogram with sides 9 and 5, angle A labeled 65 degrees and angles B, C and D labeled x, y and z — A parallelogram ABCD with sides labeled 9 and 5 and ∠A labeled 65°. The other three angles are labeled x, y and z, with parallel arrows on both pairs of opposite sides, so students use what they know about a parallelogram’s angles to find each one.

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Answer key

Sides: AB = 9, BC = 5, CD = 9, DA = 5
Angles: ∠A = 65°, ∠B = 115°, ∠C = 65°, ∠D = 115°
Perimeter: 28
Area: 40.8

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