How to find the measure of an angle of a circle

[From: ] [author: ] [Date: 11-04-25] [Hit: ]

Because the remaining two angles are equal, each angle must be 92 / 2 = 46 degrees.Therefore, angle JLM is 46 degrees.......

it looks like this...

http://www.flickr.com/photos/62069060@N02/5649873079/in/photostream

it's 88 degrees in case you cant' really read it

Q: find the measurement of angle JLM

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Because JL and KM are both diameters of the circle (which you know because they pass through the center), you know that angle JLM is the same as angle KML, so you have an isosceles triangle. Because angle JPK is 88 degrees, you know that angle LPM is congruent to it, so is also 88 degrees. The angles of triangle LPM must sum to 180 degrees, and 180 - 88 = 92. Because the remaining two angles are equal, each angle must be 92 / 2 = 46 degrees. Therefore, angle JLM is 46 degrees.

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