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In the given figure, / AOB = 90^(@) and ...

In the given figure, `/_ AOB = 90^(@)` and `/_ ABC = 30^(@)` . Then `/_ CAO = ?`

A

`30^(@)`

B

`45^(@)`

C

`60^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
`/_ AOB = 2 /_ ACB implies /_ ACB = (1)/(2) /_ AOB = ((1)/(2) xx90^(@)) = 45^(@)`
`/_ COA = 2 /_ CBA = (2 xx 30^(@)) = 60^(@)`
`:. /_ COD = 180^(@) - /_ COA = 180^(@) - 60^(@) = 120^(@)`
`implies /_ CAO = (1)/(2) /_ COD = (1)/(2) xx 120 ^(@) = 60^(@)`
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