[tex]BCA=180^{0} -ABC-BAC=180^{0} -75^{0} -60^{0} =45^{0} \\ arcBD=arcCD=2*BAD=BAC=75 ^{0} \\ arcCE=arcCE=2*CBE=ABC=60^{0} \\ arcBF=arcAF=2*ACF=ACB=45 ^{0}[/tex]
m(ABC)coarda=2*m(ABC)=2*45*=90*
m(APC)=m(ABC)=45*
m(AQC)=m(APC)arc/2 = (360*-90*)/2=270*/2=135*