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What are the measures of the exterior angles of an isosceles triangle with a base angle of 47 degrees?

A. 47 degrees
B. 66 degrees
C. 84 degrees
D. 47 degrees and 84 degrees

Answer :

Final answer:

The measures of the exterior angles of an isosceles triangle with a base angle of 47 degrees are 133 degrees each for the two base angles. The initial question's multiple-choice options do not list this correct answer.

Explanation:

The measures of the exterior angles of an isosceles triangle with a base angle of 47 degrees are found by understanding that the exterior angle is supplementary to the interior angle it is adjacent to. This means that each exterior angle is equal to 180 degrees minus the interior angle's measure. In this isosceles triangle, there are two base angles, each measuring 47 degrees, and one vertex angle, which can be found by knowing the sum of angles in a triangle is 180 degrees. The exterior angles corresponding to the base angles are both 180 - 47 degrees, which gives us 133 degrees for each. However, since the question presents both 47 degrees and 84 degrees as potential answers, it suggests that there might be a misunderstanding, since neither of these figures would be correct as formulated.

  • 133 degrees
  • isosceles triangle
  • exterior angles

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