<prompt> Katika mchoro, RSP ni mstari wa moja kwa moja na angle QSP 80circ. Ni kipimo gani cha angle PQR, kwa digrii?asychora.48,-.05--.48,.05; chora.52,-.05--.52,.05; chora1.48,-.05--1.48,.05; chora1.52,-.05--1.52,.05;chora1.04,.51--1.14,.49; chora1.03,.47--1.13,.45;chora0,0--2,0--1.17,.98--mzunguko;leboP,2,0,SE; leboR,0,0,SW; leboQ,1.17,.98,N;lebo80circ,1,0,NE;leboS,1,0,S;chora1,0--1.17,.98;asy  <response>: Kwa kuwa RSP ni mstari ulionyooka, tuna angle RSQangle QSP 180circ, hivyo angle RSQ180circ - 80circ 100circ. pembetatu RSQ ni isosceles yenye RSSQ, kwa hivyo pembe RQS frac12180circ - angle RSQ frac12180 circ - 100circ40circ . Vile vile, kwa kuwa pembetatu PSQ ni isosceles yenye PSSQ, tuna angle PQS frac12180circ - angle PSQ frac1 2180circ - 80circ50circ . Kwa hiyo, angle PQR pembe PQS pembe RQS 50circ40circ90circ. 