Question

Find all the angles of a parallelogram if one angle is 80°.​

Answer 1

Answer:

the other are 80°, 100°, 100°

Answer 2

In a parallelogram opposite angles are equal and opposite sides are parallel. Thus two angles on the same side are supplementary.

Therefore in the parallelogram the angle opposite of the 80° will be 80° and the other two angles will be

$\sf{2x+2(80°)=360°}$

$\sf{→2x=360°-160°}$

$\sf{→2x=200°}$

$\sf{→x=\frac{200°}{2}}$

$\sf{→x=100°}$

The angles of the parallelogram are 100°,80°,100°,80°