Since the angles ABC and ABD are inscribed in a circle. This means that the degree measure of the arcs is twice as large as the angles themselves.
So the arc AC is equal to:
82 ° * 2 = 164 °,
and the arc AD is equal to:
47 ° * 2 = 94 °,
Then the arc CD is equal to the difference between the arc AC and AD:
164 ° – 94 ° = 70 °,
means the CAD angle is 2 times smaller:
70 °: 2 = 35 °.
Answer: The CAD angle is 35 °.
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