MATHEMATICS MIDDLE SCHOOL

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

Answers

Answer 1
Answer:

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°

Related Questions

PLEASE HELP ME. :( :(1. After 4 hours of driving, Jan is 248 miles away from home. After 6 hours of driving, she is 372 miles from home. Write an equation in point-slope form todetermine her distance y from home after x hours.2. A train traveled 150 miles in 1 1/4 hours. At this rate, how far will the train travel after 5 hours?
125% =p over 100 p=
Mary says the pen for her horse is an acute an right triangle. Is that possible. explain
Tanika took a test that had 20 multiple- choice questions and 10 true/false questions. she got 9/10 of the multiple choice questions correct and she got 4/5 of the true/falsequestions coorect. how many multiple- choices questions did tanika get correct
Is 11.6 greater than 11.3

How do you find square numbers

Answers

To find square numbers, you multiply the number by itself.

For example:
5 x 5 = 25
10 x 10 = 100

Can someone help me find the constant? L varies directly as h; when l=112, h=-16

Answers

it varies directly
that means that when when L goes up, h also increases, when L decreases, h also decreases
so the constant is k where k=y/x
in this case it is k=L/h so subsitute
L=112
h=-16
k=L/h
k=112/-16
k=-7
the constant is -7
The statement is expressed as
L = kh
where k is constant
In terms of k,
k = L/h
Given L = 112 and h = 16
k = 112/-16 = -7

You are wrapping a gift with the dimensions shown below. What is the least amount of wrapping paper you need?

Answers

The answer is 5 hope that helps

Answer:

5

Step-by-step explanation:

Copy each statement. Insert +,-,x, or ÷ symbols to make this statement true. 33-3-2-5=1

Answers

\boxed{33 / 3-2 * 5=1} \n11-10=1 \n1=1

Final answer:

To make the equation 33-3-2-5 equal to 1, the necessary mathematical operations are subtraction, multiplication, and addition. So, by replacing some of the minus signs in the equation, the true equation is: 33 - 3 x 2 + 5 = 1.

Explanation:

The task here is to find and replace the minus (-) signs with other mathematical operations (+, -, x, ÷) to make the equation true. We need to turn 33-3-2-5 into 1. After replacing the signs, the correct equation would be: 33 - 3 x 2 + 5 = 1.

Step-by-Step Explanation:

  1. Consider the given problem: 33 - 3 - 2 - 5
  2. We are asked to replace the signs to make it equal to 1.
  3. Replace the first '-' sign to '-', the second '-' sign to 'x', and the third '-' sign to '+' sign.
  4. The new equation is: 33 - 3 x 2 + 5.
  5. As per the BIDMAS/BODMAS rule, which stands for Brackets, Indices, Division and Multiplication, Addition and Subtraction, multiplication comes before addition and subtraction.
  6. First, do the multiplication: 3 x 2 = 6.
  7. Now, simplify the equation: 33 - 6 + 5 = 32.
  8. The statement now sums up to 1, making it a true statement.

Learn more about Order of Operations here:

brainly.com/question/15840745

#SPJ12

#8 Dylan, Mike and Jeremy had $171. Mike had twice as much money as Dylan. Jeremy had three times as much money as Mike. How much money did Jeremy have?#9 we skipped this one


 
#10. Maddy had twice as many stamps as Simon. After Maddy sold 60 stamps, Sinom had twice as many stamps as Maddy. How many more stamps did Maddy have than Simon in the beginning?

Answers

Answer:

8.  $114

10.  60 stamps

Step-by-step explanation:

8.

Let Dylan have d, Mike have m, and Jeremy have j

3 of them have 171, so we can write:

1. d + m + j = 171

Mike has twice as Dylan, so we can write:

2. m = 2d

Jeremy had three times as Mike, so:

3. j = 3m

We can write equation 3 as m = j/3

Also, if we put this into equation 2, we have:

j/3=2d

d=j/6

Now we have d and m in terms of j. We put it into equation 1 and solve for j:

(j)/(6) + (j)/(3) + j = 171\n(3j+6j+18j)/(18)=171\n(27j)/(18)=171\n27j=18*171\n27j=3078\nj=(3078)/(27)\nj=114

Jaime has $114

10.

amount of stamps Maddy has is m and amount Simon has is s

Maddy had twice as many stamps as Simon:

m = 2s

Also

After Maddy sold 60 stamps, Sinom had twice as many stamps as Maddy:

s+60=2(m-60)

We put the first equation in the second and solve for s:

s+60=2(m-60)

s+60=2(2s-60)

s+60=4s-120

180=3s

s=60

THus, m = 2(60) = 120

So maddy had 120 - 60 = 60 more stamps than Simon

Donald bought a box of golf balls for $9.54. There were 18 golf balls in the box. About how much did each golf ball cost.

Answers

$9.54 /18 balls

$.53 per ball

0.55 you use the 9.54 and divide by the 18
Other Questions
What is an equation of the line that passes through the points (8, -8) and (-5, -8)
Lillian was making some pizzas. She used pound of pepperoni, pound of cheese, and pound of tomatoes on each one. How many pounds of ingredients will Lillian use to make 4 pizzas?
Find the common ratio 27,9,3,1,1/3
A bag contains 26 tiles with letters A throughly Z. Find the probability of drawing two vowels with replacement. Find the probability of drawing two vowels without replacement. Round your answer to the nearest thousandth. Which is independent? Which event is dependent?