When an inscribed angle intercepts a inscribed angle create a triangle. The central angle is a straight angle, so it has a measure of 180. .. The Inscribed angle intercepts the same arc as the central angle, so the measure of the inscribed angle is of 180, or 90. 2 . When the sides of the inscribed angle are congruent, they create a 45-45-90 triangle. A the central angle and C B Quadrilaterals Created by Central and Inscribed Angles GENERAL CASE What polygon is created when the inscribed angle does not intercept a diameter of the circle? Draw tick marks to show that the radii are congruent.