All categories

3 years ago

Find the sun of the interior angles for each polygon

Mathematics

1 answer:

sergeinik [125]3 years ago

7 0

Answer:

360

1080

Step-by-step explanation:

We can find the sum of the interior angles of any regular polygon by using this formula

(n - 2) * 180

where n = number of sides

For the square: the square has 4 sides

To find the sum of the interior angles we simply substitute 4 for n in the formula

Formula: (n - 2) * 180

Substitute 4 for n

(4 - 2 ) * 180

Subtract 4-2

2 * 180

Multiply

= 360

The sum of the interior angles of the first polygon is 360

For the second one:

We will repeat this exact process the only difference is the value of "n"

The polygon shown has 8 sides

So to find the sum of the interior angles we simply substitute 8 for n in The formula

Formula (n - 2) * 180

Substitute 8 for n

(8 - 2) * 180

Subtract 8 - 2

6 * 180

Multiply

= 1080

The interior angles of a 8 sided figure will add up to 1080

You might be interested in

Please Please Help Me In These Math Questions!!!!’

Harman [31]

Answer:

m∠JLN = 42°

m∠MLK = 90°

m∠KLO = 42°

m∠JLO = 138°

m∠AGE = 160°

Step-by-step explanation:

m∠JLN = $90-48=42$ °

m∠MLK = 90°

m∠KLO = 42° (∠KLO opposite of ∠JLN, Opposite angles are congruent)

m∠JLO = $180-42=138$ °

For the second question, things become somewhat more complex.

We know that ∠GHD = $2x$ ° and ∠AGH $(x+15)$ °.

You correctly calculated that $x=15$ °.

∠AGE is equal to both $180-(x+15)$ ° and $180-2x$ °. Either equation will work just fine.

∠AGE = $180 - (15 + 15) = 180 - 30 = 160$ °

So m∠AGE = 160°

6 0

2 years ago

1/8th of Rs.1,64,350

aleksklad [387]

Answer:

₹20543.75

Hope you got your answer.

6 0

2 years ago

Read 2 more answers

Identify the property used in each step of solving the inequality 3x – 2 > –4.

Marizza181 [45]

Answer:addition and multiplication

Step-by-step explanation:

I just did it

7 0

3 years ago

Read 2 more answers

Each of 16 students will give a 1 1/5 minute speech in English class.

Mice21 [21]

Answer:

19 1/5

Step-by-step explanation:

1 1/5 * 16

6/5 * 16

96/5

19 1/5

8 0

3 years ago

For the sequence a n =a n−1 +a n−2 and a 1 =2,a 2 =3 its first term is its second term is its third term is its fourth

taurus [48]

A function assigns the value of each element of one set to the other specific element of another set. The third, fourth, and fifth terms of the sequence are 5, 8, and 13 respectively

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given the nth term of the sequence is given by the formula,

$a_n = a_{(n-1)}+a_{(n-2)}$

Also, the first term and the second term of the sequence are 2 and 3 respectively, therefore, the other terms of the sequence are,

$a_3 = a_{(3-1)}+a_{(3-2)}\\\\a_3 = a_2 + a_1\\\\a_3 = 3 + 2\\\\a_3 = 5$

$a_4 = a_{(4-1)}+a_{(4-2)}\\\\a_4 = a_3 + a_2\\\\a_4 = 5 + 3\\\\a_4 = 8$

$a_5 = a_{(5-1)}+a_{(5-2)}\\\\a_5 = a_4 + a_3\\\\a_5 = 8 + 5\\\\a_5 = 13$

Hence, the third, fourth, and fifth terms of the sequence are 5, 8, and 13 respectively.

Learn more about Function:

brainly.com/question/5245372

#SPJ1

5 0

2 years ago