Question

1. use the diagram below to find the value of x: (4x + 20)° (x - 10)° a. -10 b. 170 c. 34 d. 28

Explanation:

Step1: Set up equation

The two angles are supplementary (sum to 180°), so we have $(4x + 20)+(x - 10)=180$.

Step2: Simplify left - hand side

Combine like terms: $4x+x+20 - 10=180$, which gives $5x+10 = 180$.

Step3: Isolate the variable term

Subtract 10 from both sides: $5x=180 - 10$, so $5x=170$.

Step4: Solve for x

Divide both sides by 5: $x=\frac{170}{5}=34$.

Answer:

C. 34