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Mkey [24]
3 years ago
15

What is the sum of the interior angles of a 15 sided polygon?

Mathematics
1 answer:
maw [93]3 years ago
3 0

Answer:

156

Step-by-step explanation:

Each triangle has an angle sum of 180 degrees, so the sum of the interior angles of the 15-gon must be (n-2)   13 × 180 = 2340 degrees. Since the 15-gon is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a measure of 2340 ÷ 15 = 156 degrees.

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Write the point-slope form of the equation of the line passing through the points (-5, 6) and (0, 1).
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The point slope form:
y - y_1 = m(x - x_1)

We need to find the slope. To find the slope we can use the following formula:
\frac{y_2 - y_1}{x_2 - X_1}

Use the points <span>(-5, 6) and (0, 1) and plug it into our slope formula and solve:
</span>\frac{1 - 6}{0 - (-5)}
\frac{-5}{5} = -1

So our slope is -1 which means m = slope = -1 
Now that we have our slope lets create the point slope form

Our point slope form equation is y - y_1 = m(x - x_1) Remember 
m = slope = -1. Also, we are going to use the point (-5,6).

First insert the m = slope = -1 number where m is located
y - y_1 = -1(x - x_1)

Next, insert the -5 from (-5,6) where x_1 is located and the 6 from (-5,6) where y_1 is located.
y - y_1 = -1(x - x_1)
y - 6 = -1(x - (-5))
Now simplify 
y - 6 = -1(x - (-5))
y - 6 = -1(x +5) <-------Answer





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