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Triangle $A B C$ is inscribed in a circle with diameter $A B$. What is
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06 May 2025, 02:02
06 May 2025, 02:02
Expert Reply
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100% (01:40) correct
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Triangle $\(A B C\)$ is inscribed in a circle with diameter $\(A B\)$. What is the sum of $\(\lfloor D\)$ and $\(\lfloor E\)$ ?.
(A) 60
(B) 75
(C) 80
(D) 90
(E) 120
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Re: Triangle $A B C$ is inscribed in a circle with diameter $A B$. What is
[#permalink]
09 May 2025, 04:00
09 May 2025, 04:00
Expert Reply
\(\begin{aligned}
&\begin{aligned}
& \angle A C B=90^{\circ} \\
& \Rightarrow \angle D C E=90^{\circ} \\
& \Rightarrow \angle D+\angle E=90^{\circ} .
\end{aligned}\\
&\text { Thus, the correct answer is } D \text {. }
\end{aligned}\)
&\begin{aligned}
& \angle A C B=90^{\circ} \\
& \Rightarrow \angle D C E=90^{\circ} \\
& \Rightarrow \angle D+\angle E=90^{\circ} .
\end{aligned}\\
&\text { Thus, the correct answer is } D \text {. }
\end{aligned}\)
gmatclubot
Re: Triangle $A B C$ is inscribed in a circle with diameter $A B$. What is [#permalink]
09 May 2025, 04:00
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