Question

find the value of x. (3x - 2)° (7x - 2)° (4x - 12)°

Explanation:

Step1: Apply angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. So, we set up the equation $(3x - 2)+(4x - 12)+(7x - 2)=180$.

Step2: Combine like - terms

Combining the x - terms and the constant terms, we get $(3x+4x + 7x)+(-2-12 - 2)=180$, which simplifies to $14x-16 = 180$.

Step3: Isolate the variable term

Add 16 to both sides of the equation: $14x-16 + 16=180 + 16$, resulting in $14x=196$.

Step4: Solve for x

Divide both sides by 14: $\frac{14x}{14}=\frac{196}{14}$, so $x = 14$.

Answer:

14