Question

x = ____ (5x - 33)° (6x + 4)°

Explanation:

Step1: Identify angle - relationship

The two given angles $(5x - 33)^{\circ}$ and $(6x + 4)^{\circ}$ are vertical angles, and vertical angles are equal. So we set up the equation $5x-33 = 6x + 4$.

Step2: Solve the equation for $x$

Subtract $5x$ from both sides of the equation: $-33=x + 4$.
Then subtract 4 from both sides: $x=-33 - 4$.
$x=-37$.

Answer:

$-37$