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
Goshia [24]
3 years ago
14

The sum of interior angles of a regular polygon is 1080.Find the size of each exterior angle

Mathematics
1 answer:
svetoff [14.1K]3 years ago
8 0

Answer:

45

Step-by-step explanation:

Calculation to Find the size of each exterior angle

First step is to calculate the sum of interior angles of a polygon using this formula

Sum of interior angles of a polygon =S=(n-2)*180

Let plug in the formula

Sum of interior angles of a polygon=1080=(n-2)*180

Cross multiply

1080/180=n-2

6=n-2

Add 2 to both sides

6+2=n-2+2

n=8

Now let Find the size of each exterior angle using this formula

Size of each exterior angle=360/n

Where,

n represent numbers of sides of the polygon

Let plug in the formula

Size of each exterior angle=360/8

Size of each exterior angle=45

Therefore the size of each exterior angle will be 45

You might be interested in
At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are
sertanlavr [38]
Here u go, hope this helps

3 0
3 years ago
Can anyone please teach me how to do this
alisha [4.7K]

Answer:

I will not give in answer but will give an example

Step-by-step explanation:

The area of irregular shapes can be determined by dividing the given shape into smaller regular shapes. The area of irregular shapes can be determined by dividing the given shape into smaller regular shapes.

In real life figures are often irregular shapes - a little bit messy. Think of your messy bedroom once more ‐ is it a perfect rectangle?

The trick is to break these figures into shapes that you know well and whose area you know how to find.

1. Find the area of this room:

3- 2 -4 -6 irregular shape

This can be done in two different ways but ill only give one example on how to find an area.

Method #1

Divide the figure into two rectangles and find all missing lengths.

The larger rectangle has an area of

4cm x 7cm = 28cm2

The smaller rectangle has an area of

4cm x 2cm = 8cm2

If we combine these we will find the total area:

28cm2 x 8cm2 = 36cm2

hope this helps :)

6 0
3 years ago
Hi! Can someone please help me?
Vilka [71]
It is angle 5, hope this helps!
4 0
3 years ago
Thế nào là hai góc đối đỉnh
Harlamova29_29 [7]

nào là hai doin dhn

??

8 0
3 years ago
Find values of a and b that make the following equality into identity:
joja [24]

Answer:

a = -2/5 and b = 2/5.

Step-by-step explanation:

Multiply  each term by (x + 3)(x - 2) :

2 ≡  a(x - 2) + b(x + 3)

Let x = 2:

2 ≡ 0 + 2b + 3b

b = 2/5.

Let x = -3:

2 ≡  a(-3-2) + 0

a = -2/5

6 0
4 years ago
Other questions:
  • A high school gym class was jumping rope. They wanted to know how many jumps each student could make before they missed. The res
    12·2 answers
  • 25 POINTS!! NEED HELP ASAP THANKSSSS Naomi had B bushels of grain. After Ruth brought her 5 more bushels of grain, she had 11 bu
    6·1 answer
  • I buy 6 CDs costing £6.99.<br> How much change do I get from<br> £50?
    9·2 answers
  • I don’t get this one
    15·2 answers
  • Round 369 to the nearest ten. Enter your answer in the box below.
    13·2 answers
  • Is -√16 a rational number or irrational?
    12·1 answer
  • What is the product of 45.23 and 7.4?
    9·1 answer
  • From his last trip, Carl knows that his car's mileage is 22 miles per gallon of gas. How many gallons will he use if he is plann
    10·1 answer
  • What is the value of 2(-8) (- 5) + 12
    7·1 answer
  • A jet plane traveling at 400 mph overtakes a propeller plane traveling at 250 mph that had a 2​-hour head start. How far from th
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!