Question

Join Q and S in the adjoining figure and prove that √P + √Q + √R + √S = 360'​

Answer 1

Answer:

I am using "<" an angle for sake of covinience.

{ Given } Given = PQRS is quadrilateral.

{ To Prove } To Prove = <P + <Q + <R + <S = 360°

{ To construct } To construct = Join QS.

{ Proof } Proof = In triangle PQS :

<P + <PQS + < PSQ = 180° ( Angle sum pro. )

In triangle QRS :

<SQR + <R + <QSR = 180°

On adding both equation we get,

<P + ( <PQS + <SQR ) + <R + ( <PSQ + <QSR ) = 180° + 180°

<P + <Q + <R + <S = 360°

HenceProved

Answer 2

Answer:

Step-by-step explanation:

You have the same book as i do :) that the tans letters are same as i have in that particular area ohh btw here is the answer

Given = PQRS is quadrilateral.

To Prove = <P + <Q + <R + <S = 360°

To construct = Join QS.

Proof = In triangle PQS :

<P + <PQS + < PSQ = 180° ( Angle sum pro. )

In triangle QRS :

<SQR + <R + <QSR = 180°

On adding both <P + <PQS + <PSQ and <SQR + <R + <QSR  we get,

<P + ( <PQS + <SQR ) + <R + ( <PSQ + <QSR ) = 180° + 180°

<P + <Q + <R + <S = 360°

Hence proofed