Question

Q 1The diagonal AC of rhombus ABCD is equal to one of its sides BC. Find all the angles of
rhombus.​

Answer 1

Answer:

60 degree

Step-by-step explanation:

In ΔABC,

AB=BC=AC

∴∠CAB=∠B=∠BCA=60

o

.....(i)

Similarly, ΔADC is an equilateral triangle,

∴∠DAC=∠D=∠DCA=60

o

.....(ii)

From (i) and (ii), we get

∠A=∠DAC+∠CAB=60

o

+60

o

=120

o

Similarly, ∠C=120

o

Hence, ∠A=120

o

,∠B=60

o

,∠C=120

o

and ∠D=60

o

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