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Circle Gamma is the incircle of triangle ABC and is also the circumcircle of triangle XYZ. The point X is on BC, the point Y is on AB, and the point Z is on AC. If angle A=40 degrees, angle B=62 degrees, and angle C=78 degrees, what is the measure of angle YXZ?

 Apr 21, 2021
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Circle Gamma is the incircle of triangle ABC and is also the circumcircle of triangle XYZ. Point X is on BC, point Y is on AB, and point Z is on AC. If angle A=40 degrees, angle B=62 degrees, and angle C=78 degrees, what is the measure of angle YXZ?

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∠YXZ = 180 - 1/2[(180 - 62) + (180 - 78)] 

or

∠YXZ = 1/2(62 + 78)

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 Apr 21, 2021

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