MathDB
Circles, Lines, Angles, Oh My!

Source: 2016 AMC 8 #23

November 23, 2016
AMC 82016 AMC 8rice

Problem Statement

Two congruent circles centered at points AA and BB each pass through the other circle's center. The line containing both AA and BB is extended to intersect the circles at points CC and DD. The circles intersect at two points, one of which is EE. What is the degree measure of CED\angle CED?
<spanclass=latexbold>(A)</span>90<spanclass=latexbold>(B)</span>105<spanclass=latexbold>(C)</span>120<spanclass=latexbold>(D)</span>135<spanclass=latexbold>(E)</span>150<span class='latex-bold'>(A) </span>90\qquad<span class='latex-bold'>(B) </span>105\qquad<span class='latex-bold'>(C) </span>120\qquad<span class='latex-bold'>(D) </span>135\qquad <span class='latex-bold'>(E) </span>150