Question

give me the answer to (b) part​

Answer 1

Answer:

Given:- ∠ACB=60°

So, ∠ACB=∠BAC=60° [ angles opposite to equal side are equal ]

In triangle BAC:-

∠ACB+∠BAC+∠CBA=180° [ ANGLE SUM PROPERTY OF A TRAINGLE ]

60°+60°+∠CBA=180°

120°+∠CBA=180°

∠CBA=180°-120°

∠CBA=60°

We know that rhombus is a parallelogram, and opposite angles of a parallelogram are equal.

So,∠CBA=∠ADC=60° [ OPPOSITE ANGLES OF A PARALLELOGRAM ARE EQUAL AND RHOMBUS IS ALSO A PARALLELOGRAM ]

∠ACB=∠DAC=60° [ ALTERNATE INTERIOR ANGLES ARE EQUAL ]

In triangle ADC:-

∠ADC+∠DAC+∠DCA=180° [ ANGLE SUM PROPERTY OF A TRIANGLE ]

60°+60°+∠DCA=180°

120°+∠DCA=180°

∠DCA=180°-120°

∠DCA=60°

So, ∠DCA=60°

∠BAC=60°

∠ADC=60°

Step-by-step explanation:

Answer 2

Answer:

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