How many sides does a regular polygon have if each of its interior angles is a) 150 °; b) 144 °?
| May 21, 2021 | education
a) The number of sides of a regular polygon can be calculated by the formula:
n = 360 / (180 – ά), where ά is the degree measure of the interior angle. Let’s calculate n, if ά = 150º:
n = 360 / (180 – 150) = 360/30 = 12.
b) Now we calculate n, if ά = 144º:
n = 360 / (180 – 144) = 360/36 = 10.
Answer: a regular polygon has 12 sides; 10 sides.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
