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Parallelogram L M N O is shown. Angle L is (2 x + 10) degrees and angle O is (x + 20) degrees.
In parallelogram LMNO, what is the measure of angle N?

50°
70°
110°
130°

Respuesta :

sqdancefan

Answer:

  110°

Step-by-step explanation:

Adjacent angles in a parallelogram are supplementary:

  ∠L +∠O = 180°

  (2x +10) +(x +20) = 180

  3x = 150 . . . . . . . . . . . . . subtract 30

  x = 50

Then ...

  ∠L = (2x +10)° = (2·50 +10)° = 110°

Opposite angles in a parallelogram are congruent, so ...

  ∠N = ∠L = 110°

raphealnwobi

The measure of ∠N in parallelogram LMNO is 110°.

What is a parallelogram?

A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel.

In parallelogram LMNO:

∠L + ∠O = 180° (corresponding angles add up to 180°)

Hence:

(2x + 10) + (x + 20) = 180

x = 50°

∠N = ∠O (opposite angles are equal)

∠N = 2(50) + 10 = 110°

The measure of ∠N in parallelogram LMNO is 110°.

Find out more on parallelogram at: https://brainly.com/question/970600

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