n ΔFGH, \overline{FH}FH is extended through point H to point I, \text{m}\angle FGH = (x-2)^{\circ}m∠FGH=(x−2)∘, \text{m}\angle GHI = (4x-5)^{\circ}m∠GHI=(4x−5)∘, and \text{m}\angle HFG = (x+19)^{\circ}m∠HFG=(x+19)∘. Find \text{m}\angle HFG.m∠HFG

n ΔFGH, \overline{FH}FH is extended through point H to point I, \text{m}\angle FGH = (x-2)^{\circ}m∠FGH=(x−2)∘, \text{m}\angle GHI = (4x-5)^{\circ}m∠GHI=(4x−5)∘, and \text{m}\angle HFG = (x+19)^{\circ}m∠HFG=(x+19)∘. Find \text{m}\angle HFG.m∠HFG

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

In ΔFGH, \overline{FH}FH is extended through point H to point I, \text{m}\angle FGH = (x-2)^{\circ}m∠FGH=(x−2)∘, \text{m}\angle GHI = (4x-5)^{\circ}m∠GHI=(4x−5)∘, and \text{m}\angle HFG = (x+19)^{\circ}m∠HFG=(x+19)∘. Find \text{m}\angle HFG.m∠HFG.

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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