Quadrilaterals ...

The diagram shows the construction of

If angles $$\angle A,\angle B,\angle C,\angle D$$ of a quadrilateral $$ABCD$$ are taken in order, then they are found to be in ratio $$3:7:6:4$$, then $$ABCD$$ is a:

The diagonals of a quadrilateral PQRS bisect each other at right angles. If $$PQ=5.5\:cm$$, then the perimeter of PQRS is

The sum of the angles in a quadrilateral is equal to .......... .

In a quadrilateral $$PQRS$$, if $$\angle P\, =\, \angle R\, =\, 100^{\circ}$$ and $$\angle S\, =\, 75^{\circ}$$, then $$\angle Q = $$ ......... .

Find the value of $$x$$.

Find the value of $$x$$.

$$P$$ is the mid-point of side $$AB$$ to a parallelogram $$ABCD$$. A line through $$B$$ parallel to $$PD$$ meets $$DC$$ at $$Q$$ and $$AD$$ produced at $$R$$. Then $$BR$$ is equal to ______.

Suppose the triangle ABC has an obtuse angle at C and let D be the midpoint of side AC. Suppose E is on BC such that the segment DE is parallel to AB. Consider the following three statements
i) E is the midpoint of BC
ii) The length of DE is half the length of AB
iii) DE bisects the altitude from C to AB

The measures of angles of a quadrilateral in degrees are $$x, 3x - 40 , 2x$$ and $$4x +20$$. Find the measure of each angle.