Question

question 24/25
24 solve for x using the triangle sum theorem.
x + 18
60°
x =

Explanation:

Step1: Apply triangle - sum theorem

The sum of interior angles of a triangle is 180°. So, $(2x - 10)+(x + 18)+60=180$.

Step2: Combine like - terms

$2x+x-10 + 18+60=180$, which simplifies to $3x+68 = 180$.

Step3: Isolate the variable term

Subtract 68 from both sides: $3x=180 - 68$, so $3x=112$.

Step4: Solve for x

Divide both sides by 3: $x=\frac{112}{3}$.

Answer:

$x=\frac{112}{3}$