Question

If two adjacent angles of a parallelogram are equal find the angles what do you call such a parallelogram

Answer 1

Step-by-step explanation:

90^0 will be the angle ,hence it can be call as rectangle.

Answer 2

Answer:

All the angles will be 90°

Such a parallelogram is called as a rectangle.

Step-by-step explanation:

Given: Angle ABC = Angle DCB ------(1)

Angle BAD = Angle ADC

Let ABCD be the parallelogram

We have AB || CD and AC as the transversal,

= angle ABC + angle angle DCB = 180° [Co-interior angles are Supplementary]

= ABC + DCB = 180°

From ----(1)

= ABC + ABC = 180°

= 2 ABC = 180°

= ABC = 90°

Since in a parallelogram opposite angles are equal and according to the question adjacent angles are equal

So , all angles are equal to 90°

Since in a parallelogram opposite sides are equal and we have proved that all the angles are 90° .

So , such a parallelogram is called a Rectangle.

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