Answer:
a)The number of sides of the polygon = 9 sides
b) The size of each exterior angle = 40°
Step-by-step explanation:
The sun of interior angles of a regular polygon is 1260°.Calculate the number of sides of the polygon and the size of each exterior angle.
a) The number of sides of the polygon
We solve using the formula
S = ( n - 2 ) × 180 °
Where S = Sum of the Interior angles = 1260°
1260° = (n - 2) × 180°
Divide both sides by 180°
1260°/180° = n - 2
7 = n - 2
n = 7 + 2
n = 9 sides
b) The size of each exterior angle
The sum of each exterior angle of a polygon = 360°
Hence, size of each exterior angle = 360°/number of sides of the polygon
= 360°/9
= 40°
