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
mr_godi [17]
3 years ago
7

Determine the measure of an interior angle of the named regular polygon. If a side of the polygon is extended, determine the sup

plemntsry angle of an interior angle.
A) the measure of each interior angle of a regular hexagon is

B) the measure of the supplementary angle of an interior angle is
Mathematics
1 answer:
ladessa [460]3 years ago
6 0

Answer:

A) Each interior angle of the Regular Hexagon = 120°

B)The measure of the supplementary angle of an interior angle is  60°

Step-by-step explanation:

Regular Hexagon : A 6 sided polygon which has all 6 interior angles as  EQUAL is called a regular hexagon.

So, here are 6 interior angles of the hexagon are equal.

Also, Sum of all interior angles of an hexagon = 720°

Let us assume the each angle of the hexagon = m

⇒ m + m + m + m + m  + m = 720°

or, 6 m = 720°

or, m = 720° / 6 = 120°

⇒ Each interior angle of the Regular Hexagon = 120°

Now, a side is extended to form an exterior angle.

Let us assume the measure of that exterior angle  = k

⇒ k + m = 180 °   ( as k and m are SUPPLEMENTARY ANGLES)

or,  k = 180 - 120   = 60 °

or, k = 60 °

Hence,  the measure of the supplementary angle of an interior angle is  60°

You might be interested in
Graph the line that has a slope of and includes the point (5, 4).
iVinArrow [24]

Answer:

Heres the answer hope this helps! :)

6 0
3 years ago
Read 2 more answers
Your bank account has a starting value of $105. You deposit $45 and get $20 cash back. How much do you have in the bank account
Olenka [21]

Answer:

$80?

Step-by-step explanation:

I hope its right

3 0
2 years ago
Sammy and David were selling water bottles to raise money for new football uniforms famous or 5 water bottles for every 3 water
ANTONII [103]
In the given question, we come to know that Sammy sold 5 bottles for every 3 water bottles sold by David. In this case we get the ratio as 5:3
Now this ratio indicates that the total number of bottles can be divided into 8 parts for finding out a single part. the total number of water bottles that are sold by Sammy and David together are 160.
Now on dividing this total number of bottles by 8 we get the 20 as one part.
The,
Number of Bottles sold by Sammy = 5 * 20
                                                         = 100
Number of bottles sold by David = 3 * 20
                                                   = 60
So Sammy sold 100 water bottles and David sold 60 water bottles from the total of 160 water bottles.
8 0
3 years ago
Does anyone have the answer to this? <br> 3(x+2)-7 = 5x + 7.
Aleks04 [339]

Answer:

-4

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Select the two points that the line would go through. Practice on a piece of paper in front of you.
Mama L [17]

Answer:

  • (1,-3), (2,-2)​

Step-by-step explanation:

The graph passes through (3, -1) and (0, -4)

<u>The slope is:</u>

  • (-4 - (-1))/-3 = -3/-3 = 1

<u>The y-intercept is given</u>: -4

<u>The line is:</u>

  • y = x - 4

See the graph

<u>The points plotted as well and those on the line are:</u>

  • (1,-3)
  • (2,-2)​

5 0
2 years ago
Other questions:
  • 4 friends share 3 oranges equally. How much does each friend get?
    8·2 answers
  • Use matrix addition to solve this equation:
    5·1 answer
  • What is the area of a rectangle with a length 3 1/4 of inches and a width of 2 1/2 inches?
    13·1 answer
  • Hey guys how do u do 10+10? i forgot :(
    15·2 answers
  • Can someone please explain how the answer is D
    7·1 answer
  • Create a list of steps, in order, that will solve the following equation.
    6·2 answers
  • Given any two functions f and g, which of the following statements is always true? (1 point)
    5·1 answer
  • Pls I really need help
    11·1 answer
  • Which classification is most precise for each figure?
    12·2 answers
  • The original price of a skateboard is 50$.The skateboard is on sale for 20% off.What is the sale price?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!