Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
Answer:
see explanation
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 6 ( sides of a hexagon ) , then
sum = 180° × 4 = 720°
(a)
let x be the sixth interior angle , then
90° + 100° + 110° + 120° + 130° + x = 720 , that is
550° + x = 720° ( subtract 550° from both sides )
x = 170°
(b)
the sum of the exterior angles of a polygon is 360°
exterior angle + interior angle = 180°
exterior angle = 180° - interior angle
Then
180° - 90° = 90°
180° - 100° = 80°
180° - 110° = 70°
180° - 120° = 60°
180° - 130° = 50°
180° - 170° = 10°
sum = 90° + 80° + 70° + 60° + 50° + 10° = 360° ← correct total
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.
