Answer:
B
Explanation:
the sum of the exterior angles of a polygon is 360°
sum the parts of the ratios, 1 + 2 + 4 + 5 + 8 + 10 = 30 parts
divide 360° by the number of parts to find the value of one part of the ratio.
360° ÷ 30 = 12° , then
2 parts = 2 × 12° = 24°
4 parts = 4 ° 12° = 48°
5 parts = 5 × 12° = 60°
8 parts = 8 × 12° = 96°
10 parts = 10 × 12° = 120°
the 6 exterior angles are 12° , 24° , 48° , 60° , 96° , 120°
then in a polygon
interior angle + exterior angle = 180° ( subtract exterior angle from both sides )
interior angle = 180° - exterior angle
using the above 6 exterior angles
12° : interior angle = 180° - 12° = 168°
24° : interior angle = 180° - 24° = 156°
48° : interior angle = 180° - 48° = 132°
60° : interior angle = 180° - 60° = 120°
96° : interior angle = 180° - 96° = 84°
120° : interior angle = 180° - 120° = 60°
the 6 interior angles are 168° , 156° , 132° , 120° , 84° , 60°