See complete Problem 215 at:

gogeometry.com/problem/p215_quadrilateral_angle_bisector_cyclic.htm

Level: High School, SAT Prep, College geometry

## Friday, January 2, 2009

### Elearn Geometry Problem 215: Quadrilateral, Angle Bisectors, Cyclic Quadrilateral

Labels:
angle,
angle bisector,
cyclic quadrilateral,
quadrilateral

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angle E + angle G

ReplyDelete= 180 - 0.5(angle B + angle C) + 180-0.5(angle A+angle D)

= 360 - 0.5(angle A + angle B + angle C + angle D)

= 360 - 180 = 180 #

angle GFB=A/2 + B/2

ReplyDeleteangle GHC=C/2 + D/2

=> GFB + GHC = 180

=> GFE + GHE = 180