Question

In a rhombus ABCD,AC=AD.find the measurement of B AND DCB

Answer 1

measurement of B AND DCB .......

Answer 2

∠B  = 60°  & ∠DCB = 120°  if In a rhombus ABCD,AC=AD

Step-by-step explanation:

In a rhombus ABCD,AC=AD

A rhombus has all its sides equal

=> AB = BC = CD = AD

AC = CD  given

Hence ΔACD

CD = AD = AC

=> ΔACD is Equilateral Triangle

=> ∠ADC = ∠DAC = ∠DCA = 60°

Similarly

in ΔACB

AB = BC = AC

=> ΔACB is Equilateral Triangle

=> ∠ABC = ∠BAC = ∠BCA = 60°

∠B = ∠ABC = 60°

∠DCB = ∠DCA + ∠BCA

=> ∠DCB =60° + 60°

=> ∠DCB = 120°

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