Answer:
PR = 13y +25
QR = 5y+20
Step-by-step explanation:
<u>For figure a.</u>
AB = x+2
BC = 7x-3
AC and AB + BC coincides with each other, so they should be equal
i.e AC = AB + BC
{ We know that things which coincide with each other are equal }
Therefore,
AC = AB + BC = ( x+2 ) + ( 7x-3 ) = x+2+7x-3 = 8x-1
<u>For figure b.</u>
PQ = 8y + 5
PR = 13y +25
PR and PQ + QR coincides with each other , so they should be equal
i.e PR = PQ + QR
{ We know that things which coincide with each other are equal }
Therefore,
PR = PQ + QR
QR = PR - PQ
QR = ( 13y +25 ) - ( 8y + 5 )
QR = 13y+25-8y-5
QR = 5y+20