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An exterior angle of an isosceles triangle measures 44°. What is the greatest measure of any of the three angles of the triangle?
A. 68°
B. 72°
C. 112°
D. 136°
E. Insufficient information is given to answer this question.
Correct Answer: D
Explanation/Reference:
Explanation:
The triangle has an exterior angle of 44°, so it has an interior angle of (180 – 44) = 136°. This is an obtuse angle; the other two angles must be acute, and therefore, they will have measure less than 90° – and, subsequently, the 136° anglewill be the one of greatest measure.
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