Please Help! The figure is composed of a regular pentagon and a rectangle. What is the measure of each of the angles identified as x?

Answer:
[tex]x=36^{\circ}[/tex] is the required answer.
Step-by-step explanation:
The angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap. The Sum of adjacent angles is [tex]180^{\circ}[/tex]
[tex]x+108^{\circ}+x=180^{\circ}\\\\\Rightarrow x=36^{\circ}[/tex]
[tex]108^{\circ}[/tex] represents the internal angle of a pentagon.
Best Regards!
Answer: 36°
Step-by-step explanation: The interior angles of a regular pentagon are 108° Subtract from 180° leaves 72° split evenly, resulting in 36°