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A B C D is a rhombus in which the altitu...

`A B C D` is a rhombus in which the altitude from `D` to side `A B\ ` bisects `A Bdot` Find the angles of the rhombus.

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The correct Answer is:
`60^(@), 120^(@),60^(@),120^(@)`

`DM bot AB and AM=MB.`
`triangle AMD ~= triangle BMD`
` " " (because AM=MB, angle AMD= angle BMD=90^(@), DM=DM).`
`therefore AB=AD=DB rArr triangle ABD ` is equilateral.
So, `angle A =60^(@) rArr angle B =120^(@), angle C =60^(@), angle D=120^(@).`
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