abcd is a rhombus . angle bac=43° find angle acb and angle dac
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Answered by
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Answer:
all angles 43 degrees
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Answered by
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Answer:
ABCD is Rhombus (Given)
AB = BC
∠BAC = ∠ACB (∠s opp. to equal sides)
But ∠BAC = 43° (Given)
∠ACB = 43°
In ∆ABC,
∠ABC + ∠BAC + ∠ACB = 180°
∠ABC + 43°+ 43° = 180°
∠ABC = 180° – 86° = 94°
But ∠ABC = ∠ADC (opp. ∠s of rhombus)
∠ADC = 94°
∠DAC = ∠DCA ( AD = CD)
∠DAC = 1/2 [180° – 94°]
∠DAC = 1/2 x 86° = 43°
Hence (i) ∠ACB = 43° (ii) ∠DAC = 43° (iii) ∠ADC = 94°
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