itzkrisdaboss37 itzkrisdaboss37
  • 12-06-2021
  • Mathematics
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In the accompanying diagram of parallelogram ABCD, m

In the accompanying diagram of parallelogram ABCD m class=

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akposevictor
akposevictor akposevictor
  • 18-06-2021

Answer:

m<D = 120°

Step-by-step explanation:

Adjacent angles are supplementary in a parallelogram.

Thus:

2x + 12 + 5x = 180°

Collect like terms

7x + 12 = 180

7x = 180 - 12

7x = 168

x = 168/7

x = 24

✔️m<D = 5x° (opposite angles in a parallelogram are equal)

Plug in the value of x

m<D = 5(24)

m<D = 120°

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