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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

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\( x = 22 \)

Solution

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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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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