Question

If all four angle of a qadrilateral are equal , then prove that its opposite sides are parallel​

Answer 1

Answer:

Step-by-step explanation:

Given-all angles of the quadrilateral are equal.

We know that the sum of all angles of a quadrilateral is 360°. If all angles are equal,

x+x+x+x=360°

4x=360°

x=360/4

x=60°

Therefore, all angles are equal to 360°.

In parallel lines, and the corresponding angles are equal to 180°.if u consider two Opp angles, they will be equal to 180°. Hence the first set of lines are parallel. Similarly, the other set of sides are parallel. Hence, the quadrilateral is a parallelogram.