Question

1. solve for x.

Explanation:

Step1: Apply angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. So, $(x + 29)+(x + 18)+x=180$.

Step2: Combine like - terms

$(x+x + x)+(29 + 18)=180$, which simplifies to $3x+47 = 180$.

Step3: Isolate the variable term

Subtract 47 from both sides: $3x=180 - 47$, so $3x=133$.

Step4: Solve for x

Divide both sides by 3: $x=\frac{133}{3}\approx44.33$.

Answer:

$x=\frac{133}{3}$