Get expert advice and community support for all your questions on IDNLearn.com. Join our interactive Q&A community and access a wealth of reliable answers to your most pressing questions.
Sagot :
All the angles from the polygon path made by the students are;
∠1 = 96°
∠2 = 90°
∠3 = 162°
∠4 = 132°
∠5 = 60°
The images of the polygon are missing and so i have attached them.
- From the attached image, we can see we have;
Triangle (3 sided polygon)
Square ( 4 sided polygon)
Pentagon (5 sided polygon)
Hexagon (6 sided polygon)
Now, we know that formula for external angle of a polygon with n sides is 360/n.
- Thus, for the 6-sided polygon, the ∠5 = 360/6
∠5 = 60°
- Since ∠4 is shared by the pentagon and hexagon, then;
∠4 = (360/5) + 60
∠4 = 72° + 60°
∠4 = 132°
- Since ∠3 is shared by the square and pentagon, then;
∠3 = 90 + 72
∠3 = 162°
- ∠2 = 90° because external angles of a square = 360/4 = 90°
The polygon 12345 is a 5 sided polygon and as such;
Sum of interior angles = 180(n - 2)
⇒ 180(5 - 2) = 540°
Thus;
∠1 + ∠2 + ∠3 + ∠4 + ∠5 = 540°
Plugging in the relevant values, we have;
∠1 + 90 + 162 + 132 + 60 = 540
∠1 + 444 = 540
∠1 = 540 - 444
∠1 = 96°
Read more at; https://brainly.com/question/4448932

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.