2005.4

Part of Ukraine Correspondence MO - geometry

Problems(1)

<C wanted, AE + BD = AB, angle bisectors

Source: 2005 All-Ukrainain Correspondence MO of magazine ''In the World of Mathematics'', grades 5-11 p4

The bisectors of the angles

A

B

of the triangle

ABC

intersect the sides

BC

AC

D

E

. It is known that

AE + BD = AB

. Find the angle

\angle C

geometryanglesangle bisectorUkraine Correspondence