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Please help with geometry

Please help with geometry-example-1
User Maetulj
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Answer : 50 degree

To find angle 1 , we apply outside angle theorem . Refer to the diagram attached below.

Measurement of arc EF=140 degrees

Measurement of arc GH = 40

Angle D = angle 1

Theorem says


angle D = (arc(EF)-arc(GH))/(2)

Now we plug in the values


angle 1 = (140-40)/(2)

angle 1 = 50

Measurement of angle 1 = 50 degrees

Please help with geometry-example-1
User Xiumeteo
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