Answer:
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°
