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WHAT IS THE VALUE OF Y IF L M N P IS A PARALLELOGRAM​

WHAT IS THE VALUE OF Y IF L M N P IS A PARALLELOGRAM​-example-1

2 Answers

8 votes

Explanation:

NPL+MNP=180°(being the sum of co-interior angle)

y°+68°=180°

y°=180°-68°

y°=112° answer

User Marco Talento
by
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10 votes

The value of y is equal to 112 degrees.

We know that the sum of all angles in a quadrilateral equals 360 degrees.

Also, the sum of the angles of one side of a parallelogram is 180 degrees.

We can calculate y using this statement.

68 + y = 180

y = 180 - 68

y = 112

Since y is 112, angle LMN will also be equal to 112 as it is opposite y.

Now we can verify this by using the property of the sum of all angles in a quadrilateral being 360 degrees.

68 + 112 + 68 + 112

= 180 + 180

= 360

Therefore the value of angle y is 112 degrees.

User Marcwjj
by
8.5k points

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