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aleksley [76]
3 years ago
5

What is the value of y in the parallelogram below? G 108 3y D E

Mathematics
1 answer:
Arlecino [84]3 years ago
5 0

Answer:

C

Step-by-step explanation:

In a parallelogram, consecutive angles are supplementary, sum to 180° , so

3y + 108 = 180 ( subtract 108 from both sides )

3y = 72 ( divide both sides by 3 )

y = 24 → C

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<u>Given</u><u> </u><u>:</u>

  • x + y = 4
  • x + y = 1

<u>To</u><u> </u><u>Find</u><u> </u><u>:</u>

  • The value of x and y.

<u>Answer</u><u> </u><u>:</u>

  • x + y = 4 ....[Equation (i)]
  • x + y = 1......[Equation (ii)]

<u>Adding</u><u> </u><u>eqⁿ (ii) </u><u>and</u><u> eqⁿ (i) we get :</u>

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<u>Now</u><u>,</u><u> </u><u>put</u><u> </u><u>the</u><u> </u><u>value </u><u>of</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>5</u><u>/</u><u>2</u><u> </u><u>in</u><u> </u><u>eqⁿ</u><u> </u><u>(</u><u>i</u><u>)</u><u> </u><u>we</u><u> </u><u>get</u><u> </u><u>:</u>

→ x + y = 4

→ 5/2 + y = 4

→ y = 4 - 5/2

→ y = 1.5

4 0
3 years ago
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