If A,B,C,D are the angles of quadrilateral, then find `(sum tan A)/(sum cot A).`

If a,b,c,d are the side of a quadrilateral, then find the the minimuym value of (a^(2)+b^(2)+c^(2))/(d ^(2))

If A , B and C are interior angles of a triangle ABC, then show that tan ((A+B) /(2)) =cot (C/2)

In quadrilateral ABCD, /_A:/_B:/_C:/_D= 3:4:5:6 . Find all the angles of quadrilateral ABCD and state the type of quadrilateral ABCD.

If A(-5, 7), B(-4, -5) , C(-1, -6) and D(4,5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD

Prove that the sum of angles of any convex quadrilateral is 360^(@) .

The ratio of the angles of a quadrilateral is 1:2:3:4. Find the smallest angle of the quadrilateral.

The angles of a quadrilateral are in the ratio 3:5:9:13. Find all the angles of quadrilateral.

If A, B and C are angles of a triangle such that angleA is obtuse, then show tan B tan C lt 1.

In the given figure, find tan P - cot R.

The two adjacent sides of a cyclic quadrilateral are 2a n d5 and the angle between them is 60^0dot If the area of the quadrilateral is 4sqrt(3) , find the remaining two sides.