Question

In a rhombus ABCD AC=AD state the measures for angle D and angle BAD

Answer 1

AB =  BC  =  CD  = AD                      ------------ ( 1 )

And 

Given AC  =  AD                               ------------- ( 2 ) , So


In ∆ ABC

AB  =  BC  =  AC , So ​∆ ABC is a equilateral triangle  and we know all internal angles of equilateral triangle are at 60°

So, ∠ BAC =  ​∠ BCA = ​ ​∠ABC  = 60​°

Similarly 
∆ ADC is a equilateral triangle ,  So 
∠ DAC =  ​∠DCA = ​ ​∠ADC  = 60​°

So,
​ ​∠DCB = ∠BCA + ∠DCA  = 60​° + 60° =  120°

And 

∠B  = 60°

Answer 2

Question:-

In a rhombus ABCD AC=AD state the measures for angle D and angle BAD

Answer:-

AB =  BC  =  CD  = AD          ------------ ( 1 )

And 

Given AC  =  AD                   ------------- ( 2 )

, So

In ∆ ABC

AB  =  BC  =  AC , So ∆ ABC is a equilateral triangle  and we know all internal angles of equilateral triangle are at 60°

So, ∠ BAC =  ∠ BCA =  ∠ABC  = 60°

Similarly 

∆ ADC is a equilateral triangle ,  So 

∠ DAC =  ∠DCA =  ∠ADC  = 60°

So,

 ∠DCB = ∠BCA + ∠DCA  = 60° + 60° =  120°

And 

∠B  = 60°