Question

solve for x in the diagram below and substitute to find the value of the missing angles. use the vocab above to support your responses. (3x + 10)° (5x + 2)° 1: what is the relationship between the given angles?

Explanation:

Step1: Identify angle - relationship

The given angles $(3x + 10)^{\circ}$ and $(5x+2)^{\circ}$ are vertical angles. Vertical angles are equal.

Step2: Set up the equation

Set $3x + 10=5x + 2$.

Step3: Solve the equation for x

Subtract $3x$ from both sides: $10 = 2x+2$.
Subtract 2 from both sides: $8 = 2x$.
Divide both sides by 2: $x = 4$.

Answer:

$x = 4$