Question

please solve its urgent ​

Answer 1

Answer :

(a) Angle BAC = 60°

(b) Angle DCA = 60°

{c) Angle ADC = 60°

Given:

• In a rhombus Angle ACB = 60°
• Find Angle BAC , Angle DCA and Angle ADC

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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