Respuesta :

The value of e in the diagram is 71 degree

Alternate segment

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,

  • ∠e = ∠PQR

∠TPQ = 19°

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

Therefore,

  • 19 + 90 + e = 180

109 + e = 180

e  =180 - 109

e = 71°

learn more on circle theorem here: https://brainly.com/question/26168678?referrer=searchResults

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