Geometry of Circles - Inscribed Triangle on Diameter - Missing Angle (Level 1)

This math topic focuses on the geometry of circles, specifically working with inscribed triangles where one side is the diameter. The main skill practiced is solving for missing angles within these triangles. Each problem presents a different triangle inscribed in a circle, with one angle given and the student required to find another. The problems invite the student to apply the theorem that a triangle inscribed in a circle and subtended by the diameter is a right triangle. Various angle values are presented in a multiple-choice format for students to select the correct answer.

Inscribed Triangle on Diameter - Missing Angle

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Find angle MBR in degrees given that MRB is 60º and BR forms a diameter

BRM