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In A B C ,\ /A=30^@,\ /B=40^@a n d\ /C=...

In ` A B C ,\ /_A=30^@,\ /_B=40^@a n d\ /_C=110^@dot` The angles of the triangle formed by joining the mid-points of the sides of this triangle are `70^@,\ 70^@,\ 40^@` (b) `60^@,\ 40^@,\ 80^@` (c)`30^@,\ 40^@,\ 110^@` (d) `60^@,\ 70^@,\ 50^@`

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Verified by Experts

Given : `angleA=30^@, angleB=40^@ and angleC=110^@`
`BDEF`, `DCEF`, `DEAF` are parallelograms.
As we know that opposite angles of a parallelogram are equal
`angleB=angleE=40^@`
`angleC=angleF=110^@`
`angleA=angleD=30^@`
Hence, `angleD=30^@, angleE=40^@ and angleF=110^@`
Hence, option(c) is correct.
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