[AHSME 1960] In this diagram AB and AC are the equal sides of an isosceles triangle ABC, in which is inscribed equilateral triangle DEF. Designate angle BFD by a, angle ADE by b, and angle FEC by c. Then: 6-c (A) b= - (C) a - a+c (B) b = 2 2 2 6+c (D) a = (E) none of these 2

[AHSME 1960] In this diagram AB and AC are the equal sides of an isosceles triangle ABC, in which is inscribed equilateral triangle DEF. Designate angle BFD by a, angle ADE by b, and angle FEC by c. Then: 6-c (A) b= - (C) a - a+c (B) b = 2 2 2 6+c (D) a = (E) none of these 2

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

[AHSME 1960] In this diagram AB and AC are the equal sides of
an isosceles triangle ABC, in which is inscribed equilateral triangle
DEF. Designate angle BFD by a, angle ADE by b, and angle FEC
by c. Then:
6-c
a+c
(A) b=
(B) b =
- C
(C) a =
2
2
b+c
(D) a =
2
(E) none of these
2

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