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Parallelogram L M N O is shown. Angle L is (x + 40) degrees and angle O is (3 x) degrees.
What is the measure of angle O in parallelogram LMNO?

35°
75°
105°
155

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HappyBirthdayIsaac

Answer: C.105

Step-by-step explanation: It's right on Edge 2020  

The measure of angle O is 105°

The parallelogram sides are LMNO.

Properties of a parallelogram

  • Opposite angles are equal
  • opposite sides are equal
  • The sum of the angle sis 360 degrees.

Angle L = x + 40

Angle O = 3x

Since opposite angles are equal and sum of angles is equals to 360 degrees. Therefore,

2(x + 40) + 2(3x) = 360

2x + 80 + 6x = 360

8x = 360 - 80

8x  = 280

x = 280 / 8

x = 35

The measure of angle O is as follows:

  • Angle O = 3(35) = 105°

learn more on parallelogram here: https://brainly.com/question/17128372

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