Question

6a which expression represents the angle sum of the triangle? the correct option was c a $(10x + 7)+(6x + 20)-(11x - 9)=180$ b $(10x + 7)+(6x + 20)-(11x - 9)=360$ c $(10x + 7)+(6x + 20)+(11x - 9)=180$ d $(10x + 7)+(6x + 20)+(11x - 9)=360$ 5 well done! 6b using the expression found in part (a), solve for x. enter each line of work as an equation. enter your next step here

Explanation:

Step1: Combine like - terms

$$(10x + 7)+(6x + 20)+(11x - 9)=180$$
$$10x+6x + 11x+7 + 20-9=180$$
$$27x+18 = 180$$

Step2: Isolate the variable term

Subtract 18 from both sides:
$$27x+18-18=180 - 18$$
$$27x=162$$

Step3: Solve for \(x\)

Divide both sides by 27:
$$\frac{27x}{27}=\frac{162}{27}$$
$$x = 6$$

Answer:

\(x = 6\)