Problema Solution
Fie triunghiul ABC cu m(A)=75 grade si m(B)=60 grade. Bisectoarele [AD, [BE, [CF intersecteaza cercul circumscris triunghiului ABC in punctele D, E si F. Calculati masurile arcelor BD, CD, CE, AE, BF si AF.
Answer provided by our tutors
The measure of angle C or the triangle is 180 - angle(B)- Angle(A) =180-60-75 =45 degree
measure of arc(BD) = 2*angle(BAD) *angle(BAC) = 75 degree
arc(CD) = arc(BD) =75 degree
arc(CE) =2*angle(CAD) = angle(CAB) =75 degree
arc(AE) = arc(CE) = 75 degree
arc(AF) = 2*angle(ACF) = angle(ACB) = 45 degree
arc(BF) = arc(AF) =45 degree