1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VARVARA [1.3K]
3 years ago
7

The interior angle of a regular polygon is five times its corresponding exterior angle. Find the

Mathematics
1 answer:
tiny-mole [99]3 years ago
6 0

Answer:

12

Step-by-step explanation:

Regular polygon is one in which each angle and sides is congruent.

Sum of all the exterior angles of any polygon is 360.

Sum of all the  interior angles of any polygon is (2n-4)*90

where is n is the no. of sides of polygon.

Let n be the no. of sides of polygon required

Therefore,

Sum of all the  interior angles of  polygon = (2n-4)*90

since no of sides of polygon is n

therefore, value of each  interior angles of the polygon = (2n-4)*90/n  (A)

Sum of all the exterior angles of any polygon = 360.

value of each  exterior angles of the polygon = 360/n  (B)

Given that

The interior angle of a regular polygon is five times its corresponding exterior angle   (c)

using the statement A, B and C

(2n-4)*90/n = 5*360/n

1/n is common on both side, hence it gets cancelled.

(2n-4)*90 = 5*360

=> (2n-4) = 5*360 /90 = 20

=> 2n = 20+4 = 24

=> n = 24/2 = 12.

the  number of sides of the polygon is 12

You might be interested in
PLESE HELP WITH ANSWER. rewrite the function in the given form
kirza4 [7]

s hard and too long I'm only of class 13

5 0
3 years ago
IS<br> 9/10, 0.9, and<br> 90% equivalent?
wariber [46]

Answer:

yes

Step-by-step explanation:

they are all equivalent because they all equal 0.9

9/10 = 90/100 = 0.9

all percentages can be converted to fraction by putting them over a hundred

90% = 90/100 = 0.9

0.9 obviously = 0.9

7 0
3 years ago
Read 2 more answers
How many solutions does each equation have
notka56 [123]

Answer:

sex kaise kare aur bata ky chal raha tha aur bata ky chal raha h

7 0
3 years ago
Read 2 more answers
Please help will reward brainlest
NemiM [27]
Give me branliest then pm me k :)

7 0
3 years ago
Read 2 more answers
Consider the linear inequality:
Advocard [28]

Answer:

The ordered pair is a solution of the linear equality.

Step-by-step explanation:

Whenever you have an equation like that—it's always helpful to remember x come before y in an ordered pair. (x, y). So, from there plug the numbers into the inequality and solve.

5 > - 2 + 3
5 > 1

5 0
2 years ago
Other questions:
  • A graph titled Monthly Sales and Advertising Costs has Advertising Costs (1,000 dollars) on the x-axis and sales (1,000 dollars)
    15·2 answers
  • Simon is doing a card trick using a standard 52 card deck. He shows his friend a card, replace it, and then shows his other frie
    8·1 answer
  • If there are 12 people sitting at a round table , how many different pairs of people can have conversations during dinner, assum
    12·2 answers
  • The length of a metal rod is 9 3/4 feet. What is the length of 1/4 the rod?
    14·2 answers
  • Please help with both Step by Steps!!!!
    5·1 answer
  • A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics from a data​ set, his height co
    7·1 answer
  • Refer to the equation x - 5y = 20.
    11·1 answer
  • the length of a rectangular garden is 4 feet longer than the width. if the perimeter is 192 feet, what is the area is the garden
    14·1 answer
  • Does anybody know this ???
    15·2 answers
  • What equation has the solution x=-12.1
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!