In an inscribed quadrilateral ABCD, the ABD angle is 50 degrees and the CDA angle is 75 degrees. Find the angle CDA
| September 26, 2021 | education
The desired angle CAD is based on the arc CD. The inscribed angle CBD also rests on the arc CD.
Since the quadrangle ABCD is inscribed in a circle, the sum of its opposite angles is 180. Then the angle CBD = (180 – ABD – CDA) = (180 – 50 – 75) = 55.
Angle CAD = CBD = 45.
Answer: The value of the CAD angle is 45.
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