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June 23rd, 2016, 06:36 AM   #1
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Circle Geometry Question

Let A, B, C, D and E be points in order on the circumference of a circle. <ABC = 130* and <CDE = 140*. Prove that AE is the diameter of the circle.
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June 23rd, 2016, 07:39 AM   #2
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Quote:
Originally Posted by jamesadams View Post
Let A, B, C, D and E be points in order on the circumference of a circle. <ABC = 130* and <CDE = 140*. Prove that AE is the diameter of the circle.
$\angle ABC = 130^\circ \implies$ major arc $AC = 260^\circ \implies$ minor arc $AC = 100^\circ$

follow the same process to determine the measure of minor arc $CE$ with the given $\angle CDE = 140^\circ$
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