How to find the angle measures of a inscribed polygon?


When the quadrilateral is inscribed in a circle, opposite angles add to 180°.    26y +2x = 180    21y +3x = 180 There are many ways to solve these equations. Shown here is a graphical solution that tells us    x = 25    y = 5 Then the angles are ...    ∠A = 26y° = 130°    ∠B = 3x° = 75°    ∠C = 2x° = 50°    ∠D = 21y° = 105°

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