Question

Prove that the sum of two consecutive angles of a parellogram is 180 degree

Answer 1

Answer:

Step-by-step explanation:

(Draw a parralelogram ABCD)

In an Parallelogram ABCD. Taking AD and BC as parallel and AB as transversal, you see that angle ADC + angle BCD=180°(Co-interior angles are supplementary) They are also the adjacent angles of Parallelogram ABCD, therefore it implies that adjacent angles of a Parallelogram are supplementary.

Answer 2

we know that sum of all angles of a parallelogram is 360.and opposite angles of a parallelogram are equal. so let angle A +B +C+D= 360.we that opposite angles of parallelogram are equal.so 2angle A+2angle B=360.,angle A+angle B=180.