# Math Help - trignometry

1. ## trignometry

Hi! can you solve this sum for me---
PQRS is a quadrilateral.The sides RS and QR are the same length.The sides QP and RS are parallel.Calculate:
1)angle SQR
2)angle PSQ
3)length PQ
4)length PS
5)Area of PQRS

2. Hello, dolly kohli!

Obviously, some information is missing . . .

can you solve this sum for me --- sum?

Sides RS and QR are the same length.
Sides QP and RS are parallel.

Calculate:

$1)\;\angle SQR\qquad 2)\;\angle PSQ\qquad 3)\;\text{ length }PQ \qquad 4)\;\text{ length }PS \qquad 5)\;\text{ Area of }PQRS$

Code:
P                             Q
o  *  *  *  *  *  *  *  *  *  o
θ  * *
* θ *
*              *     *
*         *       *
*    * θ       *
o  *  *  *  o
S           R

Since $RS = QR,\;\Delta QRS$ is isosceles.
. . Hence: . $\angle SQR \:=\:\angle QSR \:=\:\theta$

Since $QP \parallel RS,\;\angle PQS \:=\:\angle QSR \:=\:\theta$

Since $P$ can be anywhere to the upper-left on that line,
. . we cannot determine $\angle PSQ$

Nor can we find the lengths of $PQ$ and $PS$, or the area of $PQRS$.