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.
Answers
Answer:
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 54°.
Answer:
totally wrong
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