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melamori03 [73]
3 years ago
10

What is the measure of angle O in parallelogram LMNO? m∠O =

Mathematics
2 answers:
irina1246 [14]3 years ago
7 0

it its 105°

i just took the test

alexdok [17]3 years ago
6 0
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!
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3 years ago
Can i get some help for this thanks
Alchen [17]

Answer:

∠A=125°

Step-by-step explanation:

Well since the lines are parallel, ∠B is opposite ∠A which means ∠B=∠A

4x+45=6x+5\\45=2x+5\\40=2x\\2x=40\\x=20

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Plugging x into the equation for ∠A.

A=6*20+5\\A=120+5\\A=125

∠A=125°

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