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in a cyclic quadrilateral, sum of opposite angles is 180 degree.
angle abc + angle adc = 180.
93 + angle adc = 180.
angle adc = 87.
now,
ac is a diameter and ce is tangent. therefore they are perpendicular to each other.
angle ace = angle acd + angle dce.
90 = angle acd + 35
angle acd = 55.
and,
∆cad =180°
∆cad= angle acd + angle adc + angle cad
180= 55 + 87 + angle cad
angle cad = 38°.
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