Question

If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram. Prove that.

Answer 1

It should have the double arrows on each line and the single vertical line on each line

Answer 2

GIVEN:

• opposite angles of a quadrilateral is equal
• it is a quadrilateral

TO PROVE :

• it is a parallelogram

ANGLE A +B+C+D = 360

2A+2B=360

TAKE COMMON 2

A+B=180

SINCE sum of adjacent angles are supplementary then it is a parallelogram

hope it helps you