Question

In a triangle, if the second angle is 15% more than the first angle and the third angle is 15% less than the
first angle, then find the three angles of the triangle.​

Answer 1

Step-by-step explanation:

Important fact: The sum of the three angles in a triangle is 180°.(Triangle sum equation)

Let the first angle = f : Let the second angle = s : Let the third angle = t

A triangle's second angle is 12° more than its first angle: s = f + 12°

The third angle is twice the first angle: t = 2f

f + s + t = 180° (Triangle sum equation)

The second and the third angle have been expressed in terms of f, the first angle, rewrite the Triangle sum equation:

f + (f + 12°) + (2f) =180° : Combine like terms

4f + 12° = 180° : subtract 12° from both sides

4f = 168° : divide both sides by 4

f = 42°, so s = (42°) + 12° => s = 54°, and t = 2(42°) => t = 84°

check: 42° + 54° + 84° = 180°

The second angle is

Answer 2

Step-by-step explanation:

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