In the above figure, ∠ABC is inscribed in arc ABC. If ∠ ABC = 60°. find m ∠AOC. Solution: ∠ABC = 12m (arc AXC) ...... □ 60° = 12 m (arc AXC) □ = m (arc AXC) - Geometry Mathematics 2

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Sum

In the above figure, ∠ABC is inscribed in arc ABC.

If ∠ ABC = 60°. find m ∠AOC.

Solution:

∠ABC = `1/2`m (arc AXC)  ...... `square` 

60° = `1/2` m (arc AXC) 

`square` = m (arc AXC) 

But m ∠ AOC = m(arc`square`)   ......(Property of central angle)

∴ m ∠AOC = `square`

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Solution

∠ABC = `1/2`m (arc AXC)  ...... (Inscribed angle theorem)

60° = `1/2` m (arc AXC) 

120° = m (arc AXC) 

But m ∠ AOC = m(arc AXC)   ......(Property of central angle)

∴ m ∠AOC = 120°

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