Question

If a parallellogram has a 30° angle, can it also have a 150° angle? why?

Answer 1

No, a parallelogram cannot have a 150° angle.

Step-by-step explanation:

No, a parallelogram cannot have a 150° angle. In a parallelogram, opposite angles are congruent, which means they have the same measure. Since the sum of the measures of angles in a triangle is always 180°, the other three angles in a parallelogram must have measures that add up to 180°. If one angle in a parallelogram is 30°, then the opposite angle is also 30°. Therefore, the other two angles must be 180° - 30° - 30° = 120°. Hence, a parallelogram cannot have a 150° angle.

Answer 2

Yes.

Step-by-step explanation:

Whenever a parallelogram Has a 30 degree angle it always has a 150 degree angle, because the sum of quadrilaterals (a parallelogram is a quadrilateral in which each pair of opposite sides is parallel) is 360 and each angle is equal to the opposing one so if you were to have 150^2 that would equal 300 and 30^2 would equal 60, so therefore it’s equals 360.

I hope this was explained thoroughly enough.