RS Aggarwal and V Aggarwal Maths Solutions Class 9 Chapter 9 - Quadrilaterals and Parallelograms

Three angles of a quadrilateral measure 56°, 115° and 84°. Find the measure of the fourth angle.

The angles of a quadrilateral are in the ratio 2:4:5:7. Find the angles.

In the adjoining figure, is a trapezium in which If and find and

In the adjoining figure, is a square and ΔEDC is an equilateral triangle. Prove that

(i) AE = BE (ii) ∠DAE = 15°

In the adjoining figure, BM⊥AC and DN⊥AC. If BM = DN, prove that AC bisects BD.

In the given figure, is a quadrilateral in which and Prove that

(i) bisects and

(ii)

(iii)

In the given figure, ABCD is a square and If PB = QC = DR, prove that

(i) (ii)

(iii)

If is a point within a quadrilateral show that

In the adjoining figure, is a quadrilateral and is one of its diagonals. Prove that:

(i)

(ii)

(iii)

Prove that the sum of all the angles of a quadrilateral is 360°.