Find the value of ∠x in the given figure.

In the given figure, AB‖DC,  ∠BAD=90°,   ∠CBD=28° and ∠BCE=65°, Then ∠ABD=?

Find the value of ∠BAC in the given diagram If AB=AC=CD and ∠ADB=20°?

ABCD is a trapezium in which AB‖CD. M and N are the mid points of AD and BC respectively. If AB=14 cm and MN=15 cm, find CD.

A piece of wire when bent to form a circle will have a radius of 84 cm. If the wire is bent to form a square, the length of a side of the square is

Two circle X and Y with centres A and B intersect at C and D. If area of circle X is 4 time area of circle Y, then AB=?

Line 2x + y = 3 and 3x - 2y = 1 meets X-axis at two two points. Find the distance between these points.

In the figure below, O of the circle is the centre. OA = 3 cm, AC = 3 cm and OM is perpendicular to AC. So the value of ∠ABC will be