Question

only type numbers. no letters or symbols. * 7 points elm street, continental road, and jefferson avenue intersect at one point on the map shown. elm street and continental road are perpendicular to each other. if the measure of ∠2=(2x + 10)° and m∠3 = 40°, determine the value of x. your answer

Explanation:

Step1: Identify vertical - angle relationship

$\angle2$ and $\angle3$ are vertical angles, so $\angle2=\angle3$.

Step2: Set up the equation

$2x + 10=40$.

Step3: Solve for x

Subtract 10 from both sides: $2x=40 - 10$, so $2x=30$. Then divide both sides by 2: $x = 15$.

Answer:

15