Question The angles in
triangle are such that one angle is 100 degrees more than the smallest angle, while the third angle is 2 times
as large as the smallest angle. Find the measures of all three angles.

9514 1404 393

  20°, 120°, 40°

Step-by-step explanation:

Let s represent the smallest angle. Then the largest is (100+s) and the third angle is (2s). The sum of angles in a triangle is 180 degrees, so we have ...

  s + (100+s) +(2s) = 180

  4s = 80 . . . . . . . . . . subtract 100

  s = 20 . . . the smallest angle

  100+s = 120 . . . the largest angle

  2s = 40 . . . the third angle

The angle measures are 20°, 120°, and 40°.  

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step-by-step explanation: