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1) let por be 5x and. roq be 7x ,5x+7x=180(linear pair) ,12x=180 ,x=15,so por be 75° and roq be 105° ,por= soq(voa) so soq =75° , similarly pos=105°. 3) in∆pqr pqs+pqr=180, pqs=180-pqr which can also be written as 180-prq (pqr= prq) similarly prt= 180-prq ,hence both are equal to same thing ,so pqs=prt. 4)x+y=180, w+Z=180 ,hence x+y = w+Z so x+y+w+Z=180° ,so we can write it as x+y+x+y=180° ,so2x+2y= 360° ,2(x+y)=360° ,x+y=180° ,hence proved that aob is line.
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