Answer:
∠ ADC = 74°
Step-by-step explanation:
In a rhombus
• The diagonals, bisect the angles
Then
∠ DAC = ∠ BAC = 53° and
∠ DAB = 53° + 53° = 106°
In a rhombus
• consecutive angles are supplementary ( sum to 180° )
∠ ADC and ∠ DAB are consecutive angles , then
∠ ADC + ∠ DAB = 180° , that is
∠ ADC + 106° = 180° ( subtract 106° from both sides )
∠ ADC = 74°
