The quadrilateral ABCD is inscribed in a circle. Angle ABD = 82 degrees, angle CAD = 28. Find ABC.

The inscribed angle CAD = 28 and is based on the CD arc, then the degree measure of the CD arc is equal to two degrees of the inscribed angle. Arc CD = 2 * 28 = 56.

The inscribed angle CBD also rests on the arc CD, then the inscribed angles CD and CBD are equal.

Angle CBD = CAD = 28.

Then the angle ABC = ABD + CBD = 82 + 28 = 110.

Answer: The angle ABC is 110.

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