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Side BC of DeltaABC has been produced to...

Side `BC` of `DeltaABC` has been produced to a point `D.` If `angleA=3y^(@),angleB=x^(@),angleC=5y^(@)andangleACD=7y^(@)`. Then, the value of `x` is

A

`60`

B

`50`

C

`45`

D

`35`

Text Solution

Verified by Experts

The correct Answer is:
A
`5y^(@)+7y^(@)=180^(@)implies12y^(@)=180^(@)impliesy=15`.
`3y+x+5y=180implies9=8y+x=180implies120+x=180impliesx=60`.
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