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The angles of a triangle are in the rati...

The angles of a triangle are in the ratio `2:3:4` . Find them
The following are the steps involved in solving the above problem.
Arrange them in sequential order from the first to the last.
(A) `2x+3x+4x=180^(@)`
`implies 9x= 180^(@)implies x=20^(@)`
(B) Let the angles be A,B and C. Given `A:B:C=2:3:4`
`implies A=2x,B=3x=C=4x`
(C ) We know that the sumf of the angles of a triangle is `180^(@), ie., A+B+C=180^(@)`
(D) The angles are `:A=2(20^(@))=40^(@),B=3(20^(@))= 60^(@)` and `C=4(20^(@))=80^(@)`.

A

BCAD

B

CBDA

C

BACD

D

BDCA

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