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Given the triangle shown below with exterior angles that measure a˚, b˚, and c˚ as shown, what is the sum of a, b, and c?
  • a)
    180
  • b)
    236
  • c)
    261
  • d)
    360
  • e)
    Cannot be determined from the given information
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Given the triangle shown below with exterior angles that measure a, b,...
If you recognized that a, b, and c are supplementary to the interior angles of the triangle, you could have quickly arrived at the correct answer: a + c = 180; a + b = 180; b + c = 180; therefore, a + b + c = 360. You could also have calculated the sum of a, b, and c by first finding their values. Because 2 of the interior angles total 124 (43 + 81), the third angle must measure 180 - 124 = 56. Therefore, angle c must measure 180 - 56 = 124, angle a must measure 180 - 43 = 137, and angle b must measure 180 - 81 = 99. The sum is 137 + 99 + 124 = 360.
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Given the triangle shown below with exterior angles that measure a, b, and c as shown, what is the sum of a, b, and c?a)180b)236c)261d)360e)Cannot be determined from the given informationCorrect answer is option 'D'. Can you explain this answer?
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