Question
The second angle of a triangle is two times the first angle the third angle of the triangle is 92° more than the first angle find each angle of the triangle
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Answer to a math question The second angle of a triangle is two times the first angle the third angle of the triangle is 92° more than the first angle find each angle of the triangle
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1. Let the first angle be \( x \).
x
2. The second angle is two times the first angle.
2x
3. The third angle is 92° more than the first angle.
x + 92°
4. The sum of the angles in a triangle is 180°.
x + 2x + (x + 92°) = 180°
5. Simplify the equation.
4x + 92° = 180°
6. Solve for \( x \).
4x = 180° - 92°
4x = 88°
x = \frac{88°}{4}
x = 22°
7. Calculate the second angle.
2x = 2 \cdot 22° = 44°
8. Calculate the third angle.
x + 92° = 22° + 92° = 114°
The angles are:
22°, 44°, 114°
2. The second angle is two times the first angle.
3. The third angle is 92° more than the first angle.
4. The sum of the angles in a triangle is 180°.
5. Simplify the equation.
6. Solve for \( x \).
7. Calculate the second angle.
8. Calculate the third angle.
The angles are:
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