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Answer :
(a) Angle BAC = 60°
(b) Angle DCA = 60°
{c) Angle ADC = 60°
Given:
Explanation:
(a) Angle BAC
To find :
Angle BAC
Angle BAC = Angle ACB = 60°
Angle BAC = Angle ACB = 60°
[Opposite angles are equal]
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Angle CBA + Angle BAC + Angle ACB = 180°
[Angle sum property]
Angle CBA + 60° + 60° = 180°
Angle CBA = 180° - 120°
Angle CBA = 60°
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(b) Angle DCA
Now , opposite angles of a parallelogram are equal
rhombus is also having same properties as parallelogram
So , DCA = BAC = 60°
[Alternate Interior angles]
.°. DCA = 60°
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(c) Angle ADC
Now , Angle ADC = CBA = 60°
[Opposite angles of a parallelogram are equal and rhombus is a parallelogram too]
.°. ADC = 60°
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