Question

plzz ans it.........​

Answer 1

Answer:

x=5 or x=1

Step-by-step explanation:

In triangle PQT

PQ || RS and PT is their transversal

<TRQ = <TRS .....,.......(1)

PQ || RS and QT is their transversal

<TQP = <TSR ...............(2)

In triangle TPQ and triangle TRS

<TRQ = <TRS .........from (1)

<TQP =<TSR ...........from(2)

triangle TPQ ~ triangle TRS

TP/TR = PQ/RS

x+3+x-1/x-1 =x+1/x-3

2x+2/x-1=x+1/x-3

(2x+2)(x-3)=(x+1)(x-1)

2xsquare -6x +2x -6 =x square -1

2xsquare -4x -6 = xsquare -1

2xsquare - xsquare -4x -6 +1=0

xsquare -4x -5=0

xsquare -5x +1x -5 =0

x(x-5) -1(x-5)=0

(x-5)(x-1)=0

x-5 =0 or x-1=0

x=5 or x=1

this will helps you