The angles A, B, C and D of a quadrilateral have measures in the ratio 2 : 4 : 5 : 7. Find the measures of these angles. What type of quadrilateral is it? Give reasons.

2

(a)

In a parallelogram PQRS, if \(\angle \)QRS=2x, \(\angle \)PQS=4x, and \(\angle \)PSQ=4x, find the angles of the parallelogram.

2

(a)

If an angle of a parallelogram in two-third of its adjacent angle then find the measure of all the angles,

2

(a)

In the figure, ABCD is a parallelogram in which AB is produced to E so that AB = BE
(a) Prove that ED bisects BC
(b) If AD = 10 cm, find OB.

2

(a)

In \(\Delta \) ABC, D, E and F are midpoints of sides AB, BC and CA. If AB = 6 cm,BC = 7.2 cm and AC = 7.8 crn find the perimeter of  \(\Delta \)DEF.

2

(a)

The angles of a quadrilateral are (4x°),(7x°),(15x°) and (10x°).Find the smallest and largest angles of the quadrilateral.

2

(a)

Two opposite angles of a parallelogram are (3x - 2)° and (63 - 2x)° Find all the angles of a parallelogram.

2

(a)

If angles of a quadrilateral are in ratio 1 : 2 : 3 : 4. Find the measure of all the angles of a quadrilateral.

2

(a)

Two parallel lines I and m are intersected by a transversal ' t'.Show that the quadrilateral formed by bisectors of interior angles is a rectangle.

2

(a)

In a parallelogram, show that the angle bisectors of two adjacent angles intersect at right angle.

2

(a)