ABCD is square and CDE is an equilateral triangle outside the square . What is the value ( in degrees ) of ∠BEC ? 

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

ABC is an isosceles triangle with AB = AC, A circle through B touching AC at the middle point of Q, intersects AB at P. Then AP : AB is : 

What is the length of the radius of the circumcircle of the equilateral triangle, the length of whose side is 6√3 cm?

In a circle, PQ is diameter, RS is chord of length equal to radius of circle. PR and QS when produced intersect at point T. Find the ∠PTQ?

If two complimentary angles are in the ratio of 4:5, find the greater angle.

In an isosceles triangles ABC, AB=AC the median drawn on the same arms are perpendicular to each other find AB/BC?

Two circles having radii 5 units intersect each other in such a way that each of them passes through the centre of the other. Then the length of their common chord is