use the figure below to answer the following questions.\nwhat is the value of x?

Explanation:

Step1: Identify vertical angles

The angles $(x+89)^\circ$ and $101^\circ$ are vertical angles, so they are equal.

Step2: Set up equation

$x + 89 = 101$

Step3: Solve for x

$x = 101 - 89$

Answer:

$12$