Mathematics, 14.04.2021 14:40 ityeoboy2210
The quadrilateral ABCD is a parallelogram if pairs of consecutive angles are supplementary. Given the angle measures, prove that quadrilateral ABCD is a parallelogram by finding the value of x.
∠A = 120 − 2x
∠B = 70 + x
∠C = 1 0 5 − 2x
∠D = 40 + 4x
A) x = 2
B) x = 5
C) x = 10
D) x = 20
2) The quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Given the side lengths, prove that quadrilateral ABCD is a parallelogram by finding the value of x.
AB = 2x + 55
A D = 4 0 + 2x
BC = 3x − 10
CD = 3x + 35
A) x = 2
B) x = 5
C) x = 10
D) x = 20
Answers: 2
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