# CBSE Class 9 Maths Angle Relations in Parallelogram

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- 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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