Adjacent angles of a parallelogram are

Adjacent angles of a parallelogram are __________.

Answer: supplementary

Explanation: 

The parallelogram is a geometric structure. It is a simple quadrilateral in which the opposite sides are parallel to each other. The length of the opposite sides are equal. The angles which are opposite to each other of a parallelogram are equal in value. 

• The designed formula to find the area of a parallelogram is “height × base”.
• The designed formula to find the perimeter is “2×(sum of the length of  adjacent sides)”
• Number of vertices = 4
• Number of Edges = 4
• There are no lines of symmetry present in a parallelogram.
• The angles that are opposite to each other in a parallelogram are equal.

The adjacent angles of a parallelogram are Supplementary. In order to prove this, we have to consider a parallelogram ABCD. We have to prove Angle A + Angle B =180° and Angle C + Angle D = 180°. We know that AB//CD and the transversal is AD. We know it by the property that the given interior angles of a parallelogram which are present on the transversal side and on the same side, are always Supplementary. Hence ∠A + ∠D = 180°

Therefore : 

∠B + ∠C = 180°, 

∠A + ∠B = 180°

∠C + ∠D = 180° 

 Therefore 180° is the value which we get when we add up a parallelogram’s two adjacent angles. Hence, we have proved that in any parallelogram structure, two adjacent angles are supplementary in nature.