The segments AB and CD are the diameters of the circle. Prove that angle BAD = angle BCD.
| August 8, 2021 | education
Let’s start with the fact that BAD is inscribed in a circle. From this it can be emphasized that it is equal to 1/2 BD.
Also, your BCD is also inscribed in a circle, so it is also equal to 1/2 BD.
It follows from 1 and 2 that BAD and BCD rest on the same arc. It follows that BAD = BDC.
Answer: BAD = BDC, because they rest on the same arc.
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