Question

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

Explanation:

Step1: Identify vertical angles

The angles $\angle BED = 115^\circ$ and $\angle AEC = (x+82)^\circ$ are vertical angles, so they are equal.

Step2: Set up equation

$$x + 82 = 115$$

Step3: Solve for x

$$x = 115 - 82$$
$$x = 33$$

Answer:

33