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jamesadams June 23rd, 2016 06:36 AM

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.

skeeter June 23rd, 2016 07:39 AM

Quote:

Originally Posted by jamesadams (Post 540526)
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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