Question

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 1

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°

Answer 2

Answer:

$x=36^{\circ}$  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 $180^{\circ}$

$x+108^{\circ}+x=180^{\circ}\\\\\Rightarrow x=36^{\circ}$

$108^{\circ}$ represents the internal angle of a pentagon.

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