Respuesta :

Um,
We know that the total interior angle in this parallelogram is 360° because there is the formula that help you with it:
180°(n-2) where n represent the total side of the figure, so
180°(4-2)
=180°(2)
=360°
Next, We see that angle L and angle N are equal with each other, and so angle O and M. Now, we have this equation:
(x+40°)+(x+40)°+(3x)°+(3x)°=360°
x°+40°+x°+40°+3x°+3x°=360°
8x°+80°=360°
Subtract 80° for both side
8x°+80°-80°=360°-80°
8x°=280°
x=35°
Angle O:
3x°
=3(35)°
=105°. As a result, angle O is 105°. Hope it help!
ankitprmr2

The value of the angle LON is 105°.

It is given that a parallelogram LMNO with one angle OLM measures (x+40)° and another angle NOL measures (3x)°.

We need to determine the value of the angle NOL.

Now, we know that the sum of the corresponding angles in the parallelogram is always equals to 180°.

Therefore, angle OLM and angle NOL are the corresponding angles of the parallelogram LMNO.

Thus,

Angle OLM + Angle NOL = 180°

(x+40)° + 3x° = 180°

4x + 40 = 180°

4x = 140°

x = 35°

Hence, the value of the angle NOL is 3x° that is 105°.

To know more about the it, please refer to the link:

brainly.com/question/21871409

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