The angles of a triangle are in the ratio 4: 5: 6. Find the angles. – InterviewSolution

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1.	The angles of a triangle are in the ratio 4: 5: 6. Find the angles.
Answer» Let the required angles be `(4x)^(@),(5x)^(@)and(6x)^(@)`. We know that the sum of the angles of a triangle is `180^(@)`. `:.4x+5x+6x=180implies15x=180` `impliesx=12`. So, the required angles are `(4xx12)^(@),(5xx12)^(@)and(6xx12)^(@),i.e.,48^(@),60^(@)and72^(@)`.

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