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Question
If the angles of a triangle are in the ratio 1: 2 : 3, determine three angles.
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Solution
Given that the angles of a triangle are in the ratio 1: 2 : 3
Let the angles be a, 2a,3a
∴ We know that
Sum of all angles of triangles is `180^@`
`a+2a+3a=180^@`
`6a=180^@`
`a=180^@/6`
`a=30^@`
Since` a=30^@`
`2a=2(30)^@=60^@`
`3a=3(30)^@=90^@`
∴ angles are a =` 30^@,2a=60^@,3a=90^@`
∴ Hence angles are `30^@,60^@ and 90^@`
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