Answer :

Answer:

∠ N = 40°

Step-by-step explanation:

The opposite angles of a parallelogram are congruent, thus

∠ L = ∠ N , substitute values

3x - 20 = 2x ( subtract 2x from both sides )

x - 20 = 0 ( add 20 to both sides )

x = 20

Thus

∠ N = 2x = 2(20) = 40°

From the given quadrilateral, the value of angle N is 40°

Data;

  • N = 2x
  • L= 3x - 20

Opposite Angles in a Parallelogram

Opposite angles in a parallelogram are equal to each other.

[tex]N = L\\2x = 3x - 20\\3x- 2x = 20\\x = 20[/tex]

The value of x is equal to 20.

Let's substitute that into N

[tex]N = 2x \\N = 2(20)\\N = 40^0[/tex]

The value of angle N is 40°

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