Quadrilateral ABCD, inscribed in a circle. The ABD angle is 86 degrees, the CAD angle is 16 degrees. Find the angle ABC.
| February 28, 2021 | education
The inscribed angle CAD = 16 and rests on the CD arc, then the degree measure of the СD arc = 2 * 16 = 32.
The inscribed angle CBD is also based on the arc CD, then the degree measure of the angle CBD = 32/2 = 16.
The desired angle ABC = ABD + СВD = 86 + 16 = 112.
Answer: The angle ABC is 112.
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