5003 Praxis Practice Test Practice Question
In the figure shown, segment DC in triangle ACD is extended to point B. Which of the following angles is an obtuse angle?
Correct Answer: B
Rationale: In triangle ACD, angle ACD is formed by the extension of segment DC to point B. Since angle ACD is an exterior angle, it is supplementary to angle ADC, meaning they add up to 180 degrees. If angle ADC is acute, then angle ACD must be obtuse to satisfy this relationship.
Angle CAD is an interior angle and cannot be obtuse if the triangle remains valid. Angle ADC, being opposite angle ACD, is also acute. Angle ACB, while potentially obtuse, is not directly influenced by the exterior angle formed at point B. Thus, angle ACD is the only angle that fits the criteria of being obtuse.
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