toakes05 toakes05
  • 12-07-2021
  • Mathematics
contestada

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

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sqdancefan
sqdancefan sqdancefan
  • 20-07-2021

9514 1404 393

Answer:

  ∠C = ∠A = 53°

  ∠D = 127°

Step-by-step 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°

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