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m angle A is half of m (arcBC)
Hence 2Angle A= m arc(BC)
2×30°= m arc(BC)
60°=Marc( BC)
as given Side AB is congurent to side AC
Angle B congurent angle C.... conv of isosceles ∆
hence angle C is 75°
therefore m arc (AB) is twice angle C
m arc (AB) =2×75°
Marc (AB)= 150°....
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Answer:
Step-by-step explanation:
m(arcBC)=1/2×angle BAC [inscribed angle theorem]
=1/2×30°
=15°
ChordAB=CHORDAC
ArcAB=ArcAC
m(arcAB)+m(arcAC)=360-m(arcBC)
2m(arcAB)=360-15
m(arcAB)=345/2=172.5°
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