Question

A triangle has angle measures that are related as follows:

Answer 1

Answer:

  a) a +8a +3a = 180°

  b) 15°, 45°, 120°

  c) see attached

Step-by-step explanation:

a)

Let 'a' represent the measure of the smallest angle. The largest angle is 8a, and the middle angle is 3a. The sum of angles, as always, is 180°.

  a +8a +3a = 180° . . . . . . equation modeling the relationship

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b)

  12a = 180° . . . . . . collect terms

  a = 15° . . . . . . . divide by 12

  3a = 3×15° = 45°

  8a = 8×15° = 120°

The angle measures are 15°, 45°, and 120°.

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c)

see attached. We have arbitrarily let the shortest side be 10 units.