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In a triangle /ABC ,\ /A=50^@,\ /B=60^@ ...

In a triangle `/_ABC ,\ /_A=50^@,\ /_B=60^@ and /_C=70^@` . Find the measures of the angles of the triangle formed by joining the mid-points of the sides of this triangle.

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given In a triangle ABC, `/_A=50^@`
`/_B=60^@`
`/_C=70^@`
as we know line joining midpoint of two sides are parallel to third side so
here `EF||BD`,`DE||BF`,`DF||AC`
so DEFB is a parallelogram
and so `/_FED=/_B=60^@` similarly,
`/_DFE=/_C=70^@`
`/_EDF=/_A=50^@`
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