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in point a the diameter is 12 C D equals 8 and MCD equals 90 find a measure round to the nearest hundred

in point a the diameter is 12 C D equals 8 and MCD equals 90 find a measure round-example-1
User Dim
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1 Answer

4 votes

Given that BE is diameter and CD is perpendicular, we can deduct that arcs CE and DE are equal.


\begin{gathered} arc(CD)=arc(CE)+arc(DE) \\ 90=2\cdot arc(CE) \\ \text{arc(CE)}=45=arc(DE) \end{gathered}

Therefore, arc DE is 45°.

User Andy Stuhl
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