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.
