A triangle has one angle that is three times the size of another, and a third angle that is 16degrees smaller than the larger of t

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A triangle has one angle that is three times the size of another, and a third angle that is 16degrees smaller than the larger of the previous two angles. What is the measure of each angle?

2 thoughts on “A triangle has one angle that is three times the size of another, and a third angle that is 16degrees smaller than the larger of t”

  2. Answer:
    26, 68 and 84
    Step-by-step explanation:
    Let the angle that is three times smaller than another be X.
    Since the angle sum of a triangle is 180 degrees, we can form the following equation:
    X + 3X + (3X- 16) = 180
    Now we can simplify this equation:
    7X – 16 = 180
    7X = 196 (add 16 to both sides)
    X = 196/7
    X = 28
    Therefore, the smallest angle is 28 degrees.
    And from here we can figure out the other angles as they are 3×28 and 3×28 – 16.
    So the three angles are 28 degrees, (3×28-16) 68 degrees, and (3×28) 84 degrees.

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