Difference between revisions of "2016 AMC 8 Problems/Problem 23"
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− | + | Two congruent circles centered at points <math>A</math> and <math>B</math> each pass through the other circle's center. The line containing both <math>A</math> and <math>B</math> is extended to intersect the circles at points <math>C</math> and <math>D</math>. The circles intersect at two points, one of which is <math>E</math>. What is the degree measure of <math>\angle CED</math>? | |
− | <math>(A) | + | <math>\textbf{(A) }90\qquad\textbf{(B) }105\qquad\textbf{(C) }120\qquad\textbf{(D) }135\qquad \textbf{(E) }150</math> |
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+ | ==Solution== | ||
+ | {{solution}} | ||
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+ | {{AMC8 box|year=2016|num-b=22|num-a=24}} | ||
+ | {{MAA Notice}} |
Revision as of 10:37, 23 November 2016
Two congruent circles centered at points and each pass through the other circle's center. The line containing both and is extended to intersect the circles at points and . The circles intersect at two points, one of which is . What is the degree measure of ?
Solution
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2016 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 22 |
Followed by Problem 24 | |
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