In 4ABC, E and F are points on AC and AB,  respectively, such that BE bisects ∠ABC and CF bisects ∠BCA. If m∠ABC=70°, m∠BCA=50°, and BE and CF intersects at D, find the degree measure of the following angles.  a. ∠AFC b. ∠BDC c. ∠CED

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 28E: For coplanar points A,B, and C, suppose that you have used the Distance Formula to show that...
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In 4ABC, E and F are points on AC and AB,  respectively, such that BE bisects ∠ABC and CF bisects ∠BCA. If m∠ABC=70°, m∠BCA=50°, and BE and CF intersects at D, find the degree measure of the following angles. 

a. ∠AFC

b. ∠BDC

c. ∠CED

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