Quadrilateral ABCD is inscribed in a circle. ABC angle is 100 degrees, CAD angle is 64 degrees. Find the angle ABD
| August 8, 2021 | education
The inscribed angle CAD = 64 and rests on the arc CD, then the degree measure of the arc CD = 2 * 64 = 128.
The inscribed angle CBD is also based on the arc CD, then the degree measure of the angle CBD = 128/2 = 64.
The desired angle ABD = ABC – CBD = 100 – 64 = 36.
Answer: The angle ABD is 36.
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