What Is The Formula For The Number Of Sizes Of A Regular Polygon If The Measurement Of Each Interior Angle Is Given?

what is the formula for the number of sizes of a regular polygon if the measurement of each interior angle is given?

 

Answer:

Formula:

Given measure of an interior angle = (n-2)(180)/n

Where n = number of sides

Step-by-step explanation:

Application of the formula:

Given measure of an interior angle of a polygon: 108°

To find the number of sides (n) of the regular polygon:

108 = (n-2)(180)/n

108n = (n-2)(180)

108n = 180n - 360

180n - 108n = 360

72n = 360

72n/72 = 360/72

n = 5

Therefore, the number of sides of a regular polygon given the measure of each interior angle at 108° is 5.

The regular polygon with 5 sides is pentagon.


Comments

Post a Comment

Popular posts from this blog

How Many Roots Does The Equation X^2 + 2x + 1 = 0 Have?

Image
How many roots does the equation x^2 + 2x + 1 = 0 have?   Answer: The given equation + 2x + 1 = 0 has one root. Step-by-step explanation: To know how to answer the question correctly, here are the related details that you need to know: Roots are where polynomials are equal to zero. To compute for the roots of the given polynomial + 2x + 1 = 0, this has to be factored. How do you factor polynomials? Click the following links: brainly.ph/question/67957 , brainly.ph/question/205121 and brainly.ph/question/753406 After factoring, + 2x + 1 = 0 will become (x + 1) (x + 1) = 0. Then, set each term to zero. (x + 1) = 0 and (x + 1) = 0. Transpose the constants to the other side, and we can derive x = -1 and x = -1. This is the root of the given equation. Therefore, the equation + 2x + 1 = 0 has only one root, which is -1.   That is how to solve the given question. 10.3.1.2.3.
Read more

You Are An Oceanographer And Want To Map The Ocean Floor On The East Coast Of The Philippines. As You Do Your Study, You Notice That There Is A Portio

You are an oceanographer and want to map the ocean floor on the east coast of the Philippines. As you do your study, you notice that there is a portion in the ocean floor which is relatively much deeper than the rest. What most likely is that deeper part? a. linear sea b. oceanic ridge c. rift valley d. trench   Answer: As an Oceanographer who is working to map the ocean floor off the eastern coast of the Philippines, I would certainly notice the portion which is much deeper than the rest. I would then conclude that this part is a trench, so the answer would be letter D. Explanation: The Trench that we find along the eastern coast of the southeast Asian nation is known as the Philippine Trench . We can find it along the western side of the Philippine plat e in the Pacific Ocean. It can be more than 10,500 meters at its deepest portion. The Philippine trench ranks as the third deepest submarine trench and is surpassed only by the Tonga and Mariana trench with the latte...
Read more

As A Grade 10 Student, How Can You Help The Teenager?

As a Grade 10 student, how can you help the teenager?   Answer: Ill go with the teenager to visit the company and to shows the result of the product they sell. Ill ask the company also to return the money to the teenager which has no satisfaction with their product. If the student rashes were severe and need to check up from a doctor and the student has no money for it. Ill file a complaint about the companys harm to pay for the doctors check-up. Thus, the experience helps the student to realize before he buys products next time.   Explanation: This is the situation of a teenager. A teenager once went to the local market to buy materials for a Science project. Upon passing by some stalls, he was invited for a free orientation on the latest product of a company. The company was selling "health rings" that can detect the mood of a person and help lower body temperature and blood pressure. The teenager was easily attracted,  which made him buy two health rings for himsel...
Read more