Question

Can a quadrilateral ABCD be a parallelogram if
(1)angle D+ angleB = 180°?
(ii) AB = DC = 8 cm, AD = 4 cm and BC = 4.4 cm?
(1) angle A = 70° and angle C = 65°?
Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles
of equal measure.
The measures of two adjacent angles of a parallelogram are in the ratio 3:2. Find the measure of each
of the angles of the parallelogram.
Two adjacent angles of a parallelogram have equal measure. Find the
measure of each of the angles of the parallelogram.
The adjacent figure HOPE is a parallelogram. Find the angle measures
x.y and z. State the properties you use to find them.
The following figures GUNS and RUNS are parallelograms.
the are in cm)
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Answer 1

Answer:

It can be, but here it needs not to be. Since opposite angles are equal in parallelogram and here opposite angles are not equal in quadrilateral ABCD. Therefore it is not a parallelogram.