Question

If all angles in a quadrilateral are equal, then the sum of any two angles of the quadrilateral is

Answer 1

Answer:

Step-by-step explanation:

Let A , B , C and D are the angles of the quadrilateral then

A + B + C + D = 360°

and since

A = B = C = D

then

4A = 4B = 4C = 4D = 360°

and therefore

A = B = C = D = 90°

and consequently

A + B = B + C = C + D = D + A = A + C

= B + D = 180°

Answer 2

Answer:

Step-by-step expla

what is the definition of a parallelogram? A quadrilateral where opposite sides are parallel. For that to be true, opposite angles have to be the same. But all four angles don’t have to be the same.

For example, a quadrilateral with two opposite angles of 60 degrees and the other two of 120 would be a parallelogram. If all four angles were the same, they’d all be 90 degrees, and you’d have something very special: a rectangle.

In other words:

All rectangles are parallelograms (but not vice versa).

All parallelograms are quadrilaterals (but not vice versa).