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In the given figure, EADbotBCD. Ray FAC ...

In the given figure, `EADbotBCD`. Ray FAC cuts ray EAD at a point A such that `angleEAF=30^(@)` . Also, in `DeltaBAC,angleBAC=x^(@)andangleABC=(x+10)^(@)`. Then the value of x is

A

20

B

25

C

30

D

35

Text Solution

Verified by Experts

The correct Answer is:
B
`angleCAD=angleEAF=30^(@)" "["vert. opp"angles]`
`angleACD=180^(@)-(30^(@)+90^(@))=60^(@)impliesx+(x+10)=60impliesx=25`.
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