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Hi, its me again. Find angle AOB

Hi, its me again. Find angle AOB-example-1
User Stanislav
by
8.0k points

2 Answers

2 votes

Answer:

∠ABC = 115∘

Explanation:

∠ABC = 1/2 ∠AOC

(Angle subtended by a chord on major area is half of that subtended on center)

∴ ∠ABC = 1/2 x 130 = 65

ABCD is a cyclic quadrilateral

Sum of opposite angles = 180∘

∴ ∠ABC + ∠AOC = 180∘

∠ABC + 65 = 180∘

∠ABC = 115∘

User Lyokolux
by
8.7k points
3 votes

Answer:

AOC=360-130 = 230

ABC= 230/2=115

User NoMAD
by
8.4k points

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