Circle Geometry Question

jamesadams · June 23rd, 2016, 06:36 AM

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 $View Post$

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 $\angle CDE = 140^\circ$

June 23rd, 2016, 06:36 AM	#1
jamesadams Newbie Joined: Jun 2016 From: sydney Posts: 1 Thanks: 0	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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