Question

this diagram shows lines m and n. what is the value of x? a. 34 b. 17 c. 7 d. 10

Explanation:

Step1: Identify vertical - angle property

Vertical angles are equal. So, $2x + 3=x + 10$.

Step2: Solve the equation for x

Subtract $x$ from both sides: $2x - x+3=x - x + 10$, which simplifies to $x+3 = 10$. Then subtract 3 from both sides: $x=10 - 3$.

Answer:

C. 7