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blsea [12.9K]
3 years ago
12

Find the sum of the interior angle measures of the green polygon,

Mathematics
1 answer:
Radda [10]3 years ago
7 0

Answer:

The sum of interior angles of given polygon is 900°

Step-by-step explanation:

A regular polygon is a n-sided figure with n sides and the length of all sides is same.

In the diagram, we have a polygon with 7 sides.

The formula given is used to calculate the sum of interior angles of a polygon

Sum\ of\ interior\ angles = (n-2)*180

Here n is the number of sides of polygon

In the given polygon

n = 7

So,

Sum = (7-2)*180 = 5*180 = 900

Hence,

The sum of interior angles of given polygon is 900°

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Need help with this question
mixer [17]

Hey there!!

How do we find the equation of a line ?

Ans : We take the slope and the y - intercept and get them together.

How do you find slopes?

Ans - In order to find slop, we will need to use the slop formula which is

( y₂ - y₁ ) / ( x₂ - x₁ )

The two points shown in the above question are

( 4 , -8 ) and ( 8 , 5 )

y₂ = 5 , y₁ = -8 and x₂ = 8 , x₁ = 4

Now plug in the values:

( 5 + 8 ) / ( 8 - 5 )

13 / 3

Hence, the slope is 13/3

The basic formula : y = mx + b

Where b is the y-intercept and m is the slope.

We have found the slope, hence, the formula would become

... y = 13/3 x + b

Now take a coordinate and substitute it .

I will take ( 8 , 5 )

x = 8 and y = 5

Now plug in the values

... 5 = 13/3 × 5 + b

... 5 = 65/3 + b

Subtract 65/3 on both sides

... 5 - 65/3 = b

... -50/3 = b

Hence, the y-intercept is -50/3

Now plug in all the values to get the total equation...

The final equation : y = 13x/3 - 50/3

... y = 13x - 50 / 3

Hope my answer helps!!

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