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

In the given figure `angleA=x+8^(@),angleB=2x+3^(@) and angle BCD =5x-11^(@)`, find the measure of `angle BCD`

Text Solution

Verified by Experts

`:. 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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