a regular polygon is such that its interior angle exceeds its exterior angle by 132°. Find sum of all the interior angles of the polygon

2340°

Step-by-step explanation:

In any polygon

interior angle + exterior angle = 180°

Here the interior angle = exterior angle + 132, then

exterior + 132 + exterior = 180 ( subtract 132 from both sides )

2 exterior = 48° ( divide both sides by 2 )

exterior angle = 24°

The sum of the exterior angles = 360°

Divide by 24 to find number of sides (n ) in the polygon

n = 360 ÷ 24 = 15

The sum of the interior angles is

sum = 180° (n - 2) ← n is the number of sides, thus

sum = 180°  × 13 = 2340°

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.