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In this diagram, point is the incenter of triangle and segments , , and are all radii of the incircle. These radii divide the triangle into 3 quadrilaterals, , , and
that are special in a number of ways. They each have 2 right angles formed by the radii of the incircle and it follows that the other 2 angles of each must be supplementary, that is they sum to radians.
Unit 7
Lesson 9: Circle Inside a Triangle 97
