Question

plz solve the question

Answer 1

In the given figure ,
angle ACB = 60°

(a) angle BAC = 60° because diagonals of rhombus bisect the angles and opposite angles are equal.

(b) angle DCA = 60° since diagonal bisect the angles.

(c) angle DCB = angle DAB opposite angles are equal in a rhombus
So, angle DCB = DAB = 120° ( diagonal bisect the angles)
Similarly, angle CBA = angle ADC = x (let)
So,
angle DCB + DAB + CBA + ADC = 360°
120 + 120 + x + x = 360
240 + 2x = 360
2x = 120
x = 60°
So, angle ADC = 60 °
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