Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
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°
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.
