# Using opposite an

Opposite angle property of parallelogram says that the opposite angles of a parallelogram are congruent.

Given a rectangle which had at least one angle as 90°. If A is 90° and AD = BC (opposite sides of rectangle are and =)

AB is transversal

A + B = 180 (angles on the same side of transversal is 180°)

But B + C is 180 (AD BC, opposite sides of rectangle)

A = C = 90°

Since opposite s are equal this rectangle is a parallelogram too.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Adjacent sides ofMHB - Math Part-II

If the ratio of mMHB - Math Part-II

Ratio of two adjaMHB - Math Part-II

In <span lang="ENMHB - Math Part-II

Using opposite anMHB - Math Part-II

Perimeter of a paMHB - Math Part-II