If the ratio of the measurement of the four angles of a quadrilateral is 1: 2: 3: 4, then the measurement of its smallest angle is-

Two circles intersect at A and B, P is a point on produced BA. PT and PQ are tangents to the circles. The relation of PT and PQ is 

In △ABC, M and N are the points on side BC such that AM ⊥ BC, AN is the bisector of ∠A, and M lies between B and N. If ∠B = 68°, and ∠C=26°, then the measure of ∠MAN is:

Find the distance travelled by a 40 cm diameter wheel to cover a distance of 176 meters? Using (π=22/7)

X and Y are centres of circles of radius 9 cm. and 2 cm respectively XY=17 cm. Z is the centre of a circle of radius r cm which touches the above circles externally. Given that - ∠xzy = 90^o the value of r is -

The difference between the interior and the exterior angles of a regular polygon is 150^o. Find the number of sides in the polygon.

In ΔABC, ∠C=90° and D is a point on CB such that AD is the bisector of ∠A. If AC=5 cm and BC=12 cm, then what is the length of AD?

The maximum number of common tangents drawn to two circles when both the circles touch each other externally is