Suppose AABC has an exterior angle at vertex B. The exterior angle is (12r – 24)°, mLA = (3x – 6) °, and m/C = (6x + 12) ° . What is the measure of the exterior angle at vertex B? %3D %3D A 10° B 24 C 72° D 96*

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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Suppose \(\triangle ABC\) has an exterior angle at vertex \(B\). The exterior angle is \((12x - 24)^\circ\), \(m\angle A = (3x - 6)^\circ\), and \(m\angle C = (6x + 12)^\circ\). What is the measure of the exterior angle at vertex \(B\)?

Choices:
- A: \(10^\circ\)
- B: \(24^\circ\)
- C: \(72^\circ\)
- D: \(96^\circ\)
Transcribed Image Text:Suppose \(\triangle ABC\) has an exterior angle at vertex \(B\). The exterior angle is \((12x - 24)^\circ\), \(m\angle A = (3x - 6)^\circ\), and \(m\angle C = (6x + 12)^\circ\). What is the measure of the exterior angle at vertex \(B\)? Choices: - A: \(10^\circ\) - B: \(24^\circ\) - C: \(72^\circ\) - D: \(96^\circ\)
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