Question

If an angle of a parallelogram is a right angle, prove that the parallelogram is a rectangle​

Answer 1

Answer:

Consider ABCD be a parallelogram and measure of angle C is 90°. Thus, m∠A=m∠B=m∠C=m∠D=90°. Since, all the angles of the parallelogram are equal to 90, therefore ABCD is a rectangle, by the properties of rectangle. Hence proved.

Step-by-step explanation:

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Answer 2

Answer:

opposite angles of a parallelogram are equal

and sum of all angles of a quadrilateral is 360

Step-by-step explanation:

so sum of adjacent angles is 180

one angle is given 90

so opposite angle is 90

and the adjacent angles are 180-9=90

so all angles are 90

opposite sides of parallelogram are equal

now the quadrilateral has opposite side equal and all angles 90

so it is a rectangle.

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