Abcd is a Rhombus. If ∠Bca = 35°. Find ∠Adc. - Mathematics
ABCD is a rhombus. If ∠BCA = 35°. find ∠ADC.
Given : Rhombus ABCD in which ∠BCA = 35°
To find : ∠ADC
Proof : AD || BC
∠DAC = ∠BCA (Alternate ∠s)
But ∠BCA = 35° (Given)
∠DAC = 35°
But ∠DAC = ∠ACD ( AD = CD) & ∠DAC +∠ACD + ∠ADC = 180°
35°+ 35° + ∠ADC = 180°
∠ADC = 180° – 70° = 110°
Hence ∠ADC = 110°
Concept: Types of Quadrilaterals - Properties of Rhombus
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