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In the given figure angleA=x+8^(@),angle...

In the given figure `angleA=x+8^(@),angleB=x+3^(@) and angle BOD =5x-11^(@)`, find the measure of `angle BCD`

A

`60^(@)`

B

`65^(@)`

C

`50^(@)`

D

`44^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
`:. angle BCD= angleA+angleB` (exterior angle = sum of two opposite interrior angles)
`rArr5x-11^(@)=(x+8^(@))+(2x+3^(@))`
`rArr 5x-11^(@)=3x+11^(@)`
`rArr 2x=22^(@) and x=11^(@)`
`:. angle BCD =5x -11^(@)=5xx11^(@)-11^(@)=44^(@)`
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