archotron31
Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

An n-sided polygon has one interior angle of 90°. The other interior angles are all equal.
If the size of one of the equal angles is 150°, calculate the value of n.

Sagot :

n = 10

For a regular polygon:
Each exterior angle = 360 / n
Each interior angle = 180 - 360/n
So sum of interior angles = n(180 - 360/n) = 180n - 360

For your polygon the sum of the interior angles = 90 + 150(n - 1) = 90 + 150n - 150 = 150n - 60

So 180n - 360 = 150n - 60
180n - 150n = -60 + 360
30n = 300
n = 10
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.