Answer:
The correct answer option is 82°.
Explanation:
We can see from the given diagram that the quadrilateral ABCD is inscribed in a circle.
Now using the property:
'Opposite angles in any quadrilateral inscribed in a circle are supplements of each other'. Which means that their measures add up to a total of 180 degrees.
Thus, ∠A + ∠C = 180°.
If ∠A = 100°, then ∠C = 180° - 98°.
Therefore, ∠C = 82°.