Circle Geometry Question

jamesadams · June 23rd, 2016, 07:36 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, 08:39 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, 07:36 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.
$jamesadams is offline$

Thread Tools
$Show Printable Version$ Show Printable Version $Email this Page$ Email this Page
Display Modes
$Linear Mode$ Linear Mode $Hybrid Mode$ Switch to Hybrid Mode $Threaded Mode$ Switch to Threaded Mode

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
Help needed in a circle geometry question	FrenchToast	Geometry	2	February 6th, 2015 05:42 PM
Turning Circle/Geometry question	plmy	New Users	3	September 2nd, 2014 09:17 AM
Circle Geometry	AzraaBux	Geometry	1	May 30th, 2013 03:42 PM
Circle Geometry	Becky-RanRan	Geometry	5	October 30th, 2011 05:55 AM
Geometry-Circle	winner	Geometry	1	January 13th, 2011 11:27 PM