Question

< a and < b are vertical angles with m < a = x and m < b = 4x - 30. what is the m < a? type your answer in the box below. (no spaces).

Explanation:

Step1: Set up the equation

Since vertical angles are equal, we have $x = 4x - 30$.

Step2: Solve for x

Subtract $x$ from both sides: $0=4x - x- 30$, which simplifies to $0 = 3x - 30$. Then add 30 to both sides: $30 = 3x$. Divide both sides by 3: $x = 10$.

Answer:

10