CBSE Class 9 Maths Angle Relations in Parallelogram

• if the diagonals of a parallelogram are equal then show that it is a rectangle
• If an angle of a parallelogram is two thirds of its adjacent angle find the angle of a parallelogram .
• In the figure ABCD is a parallelogram in which DAB = 80^o and DBC = 60^o. Calculate CDB and ADB.
• Find the measure of each angle of a parallelogram, if one of its angles is 30^o less than twice the smallest angle.
• In the given figure, PN and RM are perpendiculars to the diagonal QS of a parallelogram PQRS. Prove that PNS RMQ and PN = RM.
• ABCD is a parallelogram in which X and Y are the mid points of AB and DC respectively. If AY and DX intersect in P while CX and BY intersect in Q, show that quadrilateral PXQY is a parallelogram.
• LMNO is a parallelogram. Compute the values of x and y.
• Characterize the following statements a TRUE or FALSE and give reason for your answer. If a pair of adjacent sides of a parallelogram is equal, it must be a rhombus or a square.
• In a parallelogram ABCD, prove that the sum of any two consecutive angles is 180^o.
• In a ABC median AD is produced to X such that AD = DX. Prove that ABXC is a parallelogram.         

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