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chubhunter [2.5K]
3 years ago
13

Find the sum of the interior angle measures of a convex octagon

Mathematics
1 answer:
muminat3 years ago
8 0


The sum of the interior angles of any polygon is always . . .

     (180 degrees ) times (2 less than the number of sides in the polygon) .

It doesn't matter whether the polygon is regular, haphazard, convex,
or all mangled and squashed etc.  The only thing that matters is
how many sides it has.

The octagon has 8 sides.  So the sum of interior angles is . . .

     (180 degrees) times (8 - 2) = (180 x 6) = <em>1,080 degrees</em>


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Question Progress
rodikova [14]

Answer:

X = 6

Step-by-step explanation:

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hope this helps...

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Find WX please help is very much appreciated
vodka [1.7K]

Answer:

WX = 6

Step-by-step explanation:

1. Approach

First, one must find the value of the variable (x). This can be done by using the Tangent-Line-intersection-theorem (many people refer to it by another name, but the theory is the same). This theory essentially states that when two lines are tangent to a circle and are non-parallel, the distance between the point of tangency, and the point of intersection of those two lines are the same for each line. After finding the value of (x), one can substitute it back into the given equation for the value of (WX), and solve it.

2. Finding (x)

The two segments; (WX) and (XY) are tangent to the given circle. Meaning that they only make contact with the circle at a single point. The space between their point of tangency and the point at which they intersect will be equal. Essentially meaning that the length of (WX) and the length of (XY) are the same. Therefore the equation

(XY) = (XW)

Can be formed. Substitute in the given values;

7x - 29 = 2x + 16

Inverse operations,

7x - 29 = 2x + 16

-2x          -2x

5x - 29 = 16

     +29    +29

5x = 45

/5      /5

x = 9

3. Solve for (WX)

Now substitute back in to find the length of (WX)

7x = 29

x = 5

7(5) - 29

35 - 29

6

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Answer:

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Answer:

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