Find e (circle theorems)

The value of e in the diagram is 71 degree

Angles in alternate segment are equal. The angle between the tangent and the side of the triangle is equal tot the opposite interior angle.

Therefore,

∠TPQ = 19°

∠QPR = 180 / 2 = 90° (angle at the centre is double the angle at the circumference)

Therefore,

109 + e = 180

e  =180 - 109

e = 71°

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