Question

67° (6a - 1)°

Explanation:

Step1: Identify angle - type relationship

The two angles are vertical angles, and vertical angles are equal. So we set up the equation $6a - 1=67$.

Step2: Solve the equation for a

Add 1 to both sides of the equation: $6a-1 + 1=67 + 1$, which simplifies to $6a=68$. Then divide both sides by 6: $a=\frac{68}{6}=\frac{34}{3}\approx11.33$.

Answer:

$a = \frac{34}{3}$