Respuesta :
The expression which represents the measure of two interior angles of the provided regular pentagon is 16x²-26x+20.
What is regular Pentagon?
Regular Pentagon is the closed shaped polygon which has 5 sides equal in measure and 5 interior angles equal in measure.
The expression, which angles represent the sum of the interior angles of a regular pentagon in degrees, is,
[tex]40x^2 - 65x +50[/tex]
The interior angles of the given pentagon are equal. A Pentagon has 5 sides. Thus, the measure of angle of interior angle of the regular pentagon is,
[tex]m\angle n=\dfrac{40x^2 - 65x +50}{5}\\m\angle n=\dfrac{5(8x^2 - 13x +10)}{5}\\m\angle n=8x^2-13x+10[/tex]
The measure of two angles is,
[tex]2m\angle n=2(8x^2-13x+10)\\2m\angle n=16x^2-26x+20[/tex]
Hence, the expression which represents the measure of two interior angles of the provided regular pentagon is 16x²-26x+20.
Learn more about the regular pentagon here;
https://brainly.com/question/1592456
