Triangle PQR is inscribed in a circle such that P, Q and R lies on the circumference . If PQ is the diameter of the circle and ∠PQR = 40 ° , then what is the value ( in degrees ) of ∠QPR ?

If one of the equal angles of an isosceles triangle is 65°, then the angle at the vertex is

If the ratio of the heights of two identical triangles is 4: 9, find the ratio of the areas of the two triangles.

'G' is centroid of ΔABC if AG = BC then find ∠BGC.

The area of a rhombus is 144 square units. The length of one of its diagonals is twice the length of other diagonal. What is the sum of length of its diagonals?

In a quadrilateral ABCD, E is a point in the interior of the quadrilateral such that DE and CE are the bisectors of ∠D and ∠C, respectively. If ∠B = 82° and ∠DEC = 80°, then ∠A = ?

The adjacent angles on a straight line are in the ratio 5 ∶ 4, then the smaller angle is –

A cube has sides that are 4 cm each, and the dimensions of a cuboid are 2cm x 3cm x 4cm. Find the positive difference between the volume of the cube and that of the cuboid.