Respuesta :
Answer:
In a regular 10-sided polygon, such as the one shown in the diagram, the lengths of the sides AB and BC are equal, which means x = y.
Step-by-step explanation:
AI-generated answer
The given diagram shows a regular 10-sided polygon ABCDEFGHIJ. To show that x=y, we need to prove that the lengths of the sides AB and BC are equal.
In a regular polygon, all sides and angles are congruent, meaning they have the same length and measure, respectively. Since we have a regular 10-sided polygon, each side has the same length.
To prove that AB = BC, we can use the property of congruent sides in a regular polygon.
1. Let's assume that the length of side AB is x.
2. Since all sides are congruent, the length of side BC is also x.
Therefore, we have proven that x = y, where x represents the length of side AB and y represents the length of side BC.
In conclusion, in a regular 10-sided polygon, such as the one shown in the diagram, the lengths of the sides AB and BC are equal, which means x = y.
