Emily1308
Emily1308 Emily1308
  • 25-01-2022
  • Mathematics
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For what values of a and b is each quadrilateral a parallelogram

For what values of a and b is each quadrilateral a parallelogram class=

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dt33183 dt33183
  • 25-01-2022

Answer:

a = 4

b = 5

Step-by-step explanation:

In parallelogram, opposite sides are equal and parallel.

therefore 2b + 15 = 5a + b

=> b + 15 = 5a

b = 5a - 15

and 4a + b = 5b - a

=> 5a = 4b

Substitute b = 5a - 15

5a = 4(5a - 15)

5a = 20a - 60

15a = 60

a = 4

b = 5a - 15

b = 5(4) - 15 = 20 - 15 = 5

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