michael8123456 michael8123456
  • 14-07-2020
  • Mathematics
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Find the values of a and b for which LMNO is a parallelogram
A. A=50,b=60
B. A=60,b=50
C. A=50, b=70
D. A= 70,b=50

Find the values of a and b for which LMNO is a parallelogram A A50b60 B A60b50 C A50 b70 D A 70b50 class=

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snog
snog snog
  • 14-07-2020

Answer:

a = 50, b = 70

Step-by-step explanation:

In a parallelogram, opposite angles are congruent so we can write the following equation to solve for b:

b + 20 = 2b - 50

-b = -70

b = 70

To solve for a:

a + 40 = 2a - 10

-a = -50

a = 50

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