Abcd Is Rhombus If В€ Bca 35в°

ABCD is a rhombus. If ∠BCA = 35°. find ∠ADC.

Answers:

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°