Pregunta
If \( \Delta K L M \) is an equilateral triangle, find \( x \) if one of the angles is \( 3 x-6 \). \( x=3 \) \( x=60 \) Not enough information to determine \( x=22 \)
Ask by Daniels Reyes. in the United States
Feb 25,2025
Solución de inteligencia artificial de Upstudy
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\( x = 22 \)
Solución
In an equilateral triangle, every angle measures 60°. If one of the angles is given as 3x - 6, we set up the equation:
3x - 6 = 60
Now, add 6 to both sides:
3x = 66
Divide both sides by 3:
x = 22
Thus, the value of x is 22.
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Simplifique esta solución Beyond the Answer
In an equilateral triangle, all angles are equal and measure \( 60^\circ \). Since it's given that one of the angles is \( 3x - 6 \), we can set up the equation: \[ 3x - 6 = 60. \] Solving for \( x \): 1. Add 6 to both sides: \( 3x = 66 \). 2. Divide by 3: \( x = 22 \). Thus, the correct answer is \( x = 22 \). So, the final answer is \( x = 22 \).
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