In triangle ABC, A = 45°, B = 75°, and C = 60°. Let points D, E, and F be the feet of the altitudes from A to BC, B to AC, and C to AB, respectively. Additionally, let points G, H, and / be the feet of the altitudes from A to EF, B to DF, and C to DE, respectively. %3D Find the degree measure of the angle HGI.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section: Chapter Questions
Problem 128CUR
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In triangle ABC, A = 45°, B 75°, and C 60°. Let points D, E,
%3D
and F be the feet of the altitudes from A to BC, B to AC, and C to
AB, respectively. Additionally, let points G, H, and I be the feet of
the altitudes from A to EF, B to DF, and C to DE, respectively.
Find the degree measure of the angle HGI.
F
60 C
Transcribed Image Text:In triangle ABC, A = 45°, B 75°, and C 60°. Let points D, E, %3D and F be the feet of the altitudes from A to BC, B to AC, and C to AB, respectively. Additionally, let points G, H, and I be the feet of the altitudes from A to EF, B to DF, and C to DE, respectively. Find the degree measure of the angle HGI. F 60 C
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