Question

The consecutive angles of a parallelogram are________?

Answer 1

supplementary

Consecutive angles are supplementary (A + D = 180°). If one angle is right, then all angles are right. The diagonals of a parallelogram bisect each other. Each diagonal of a parallelogram separates it into two congruent triangles.

Answer 2

Supplementary

Explanation:

The consecutive angles of a parallelogram are supplementary.

Two angles that add up to 180° are called supplementary angles.

This can be proven by creating a parallelogram and extending all segments to create two parallel lines transversing another set of two parallel lines.

I drew a diagram of this shape and considering that all the opposite lines are parallel, the central shape is a parallelogram.

Looking at the diagram attached, we know that the angle of a straight line is 180° (represented by the yellow of Angle 1 and the pink angle next to it) All angles of the same color are congruent by angle theorems consisting of corresponding and vertical angles.

If pink is x, and yellow is y, then we can say that x + y = 180°

So, therefore we can say that the consecutive angles of the parallelogram (Angle 1 and Angle 2) sum up to 180°, because they are made up of one pink angle and one yellow angle ( x and y )