-Use the Drawing Provided to Explain the Following Theorem

Question

Examlex · Accepted Answer

The Answer is Let point Z name the point of intersection of the angle bisectors

and

. Because

bisects

, every point on

(including Z) is equidistant from the sides of

.
With

and

, it follows that

. With respect to

, also note
that

. Because Z lies on angle bisector

, we also have

. By the Transitive Property of Congruence,

. With point Z being equidistant from the sides of

, Z must also lie on angle bisector

. Thus,

,

, and

are concurrent at point Z.

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