Question

find the value of b. * 33° b° a° c°

Explanation:

Step1: Recall vertical - angle property

Vertical angles are equal. The angle adjacent to the $33^{\circ}$ angle and $b^{\circ}$ are vertical angles.

Step2: Use angle - sum property of a right - angle

Since the angle next to the $33^{\circ}$ angle and $33^{\circ}$ form a right - angle ($90^{\circ}$), we can find $b$. We know that $b + 33=90$.

Step3: Solve for $b$

Subtract 33 from both sides of the equation $b + 33=90$. So, $b=90 - 33$.
$b = 57$

Answer:

$57$