Question

If ABCD is a parallelogram,find m>D and angle C=(9×-1) and angle A=(13×-25)

Answer 1

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Answer:

∠C = ∠A = 53°

∠D = 127°

Explanation:

Opposite angles of a parallelogram are congruent, so ...

∠A = ∠C

13x -25 = 9x -1

4x = 24

x = 6

∠C = ∠A = 9(6) -1

∠C = ∠A = 53°

Adjacent angles of a parallelogram are supplementary.

∠D = 180 -∠C

∠D = 180 -(9(6) -1) = 180 -53

∠D = 127°