Question

find the value of y in the figure below. (2y + 23)° (4y + 8)° y = ***just type the number (as a decimal) and nothing else!

Explanation:

Step1: Set up the equation

Since the two angles are vertical angles and vertical angles are equal, we have $2y + 23=4y + 8$.

Step2: Isolate the variable terms

Subtract $2y$ from both sides: $2y+23 - 2y=4y + 8-2y$, which simplifies to $23 = 2y+8$.

Step3: Isolate the constant terms

Subtract 8 from both sides: $23 - 8=2y+8 - 8$, getting $15 = 2y$.

Step4: Solve for y

Divide both sides by 2: $y=\frac{15}{2}=7.5$.

Answer:

$7.5$