Geometry of Circle

Inscribed Triangle on Diameter - Missing Angle (Level 2)

This math topic focuses on solving problems related to inscribed triangles in circles, where one side of the triangle is a diameter. Specifically, it involves finding the missing angle of the triangle using properties from circle geometry. Each question presents a triangle with one known angle and requires calculating the second angle, exploiting the theorem that an angle inscribed in a semicircle is a right angle (90 degrees). The topic is suitable for learners at an intermediate level in geometry.

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Inscribed Triangle on Diameter - Missing Angle

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Find angle PZR in degrees given that PRZ is 45º and ZR forms a diameter

ZRP

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Geometry of Circles - Inscribed Triangle on Diameter - Missing Angle (Level 2) - Mobius Math