The expression 40x2 – 65x + 50 represents the sum of the interior angles of a regular pentagon in degrees. If the interior angles of the pentagon are equal, which expression represents the measure of two angles? 2x2(20 – 32x + 25x2) 2(8x2 – 13x +10) 5x2(8x2 – 13x + 10) 5(3x2 – 8x + 5)
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2( 8x² - 13x + 10) expression represents the measure of two angles
Given:
40x² - 65x + 50 represents the sum of the interior angles of a regular pentagon
To Find:
Expression representing the measure of two angles
Solution:
A pentagon has five angles
The given expression represents the sum of the interior angles of a regular pentagon in degrees
=> 40x² - 65x + 50 is sum of 5 angles
as all angles of regular polygon are equal
=> One angle = (1/5) (40x² - 65x + 50)
=> sum of two angles = 2 * (1/5)(40x² - 65x + 50)
= (2/5)(40x² - 65x + 50)
= 2( 8x² - 13x + 10)
This is the correct expression.
2( 8x² - 13x + 10) expression represents the measure of two angles
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Answer: four cars its B
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