Question

∠a and ∠b are vertical angles with m∠a = x and m∠b = 3x - 60. what is m∠a? enter your answer in the box.

Explanation:

Step1: Set up the equation

Since vertical angles are equal, we have $x = 3x-60$.

Step2: Solve for $x$

Subtract $x$ from both sides: $0 = 3x - x-60$, which simplifies to $0 = 2x - 60$. Then add 60 to both sides: $60=2x$. Divide both sides by 2: $x = 30$.

Step3: Find $m\angle A$

Since $m\angle A=x$, then $m\angle A = 30$.

Answer:

30