Question

find the value of x. t 3x - 6 x + 14 i 4x - 4 m 7 ©maneuvering the middle llc, 2016

Explanation:

Step1: Apply triangle - angle - sum property

The sum of the interior angles of a triangle is 180°. So, $(3x - 6)+(4x - 4)+(x + 14)=180$.

Step2: Combine like - terms

Combine the x - terms and the constant terms: $(3x+4x + x)+(-6 - 4 + 14)=180$, which simplifies to $8x+4 = 180$.

Step3: Isolate the variable term

Subtract 4 from both sides of the equation: $8x+4-4=180 - 4$, resulting in $8x=176$.

Step4: Solve for x

Divide both sides by 8: $\frac{8x}{8}=\frac{176}{8}$, so $x = 22$.

Answer:

$x = 22$