Question

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

Answer 1

it its 105°

i just took the test

Answer 2

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!