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In the diagram below, is a diameter of . If and , use the relationships shown in the diagram to solve for the quantities listed below. Homework Help ✎

Start by finding the measure of .

Use the Inscribed Angle Theorem, explained in the Math Notes box in Lesson 10.1.3 to determine the measure of: .

Since  is a right triangle: 


  1. length of the radius of

Use the diameter, , to find the radius

Use trigonometry to find the measures of the acute angles in .