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Answer:
The value of n is 21.
Step-by-step explanation:
We are given that three of the exterior angle of the n-sided polygon are 50° each two of its interior angle are 127° and 135° and the remaining interior angle are 173 each.
As we know that the sum of all exterior angles of the polygon is 360°. Also, the number of remaining interior angles will be (n - 5).
And, the exterior angle = 180° - the interior angle.
So, according to the question;
150 + 53 + 45 + 7(n - 5) = 360
248 + 7n - 35 = 360
213 + 7n = 360
7n = 360 - 213
7n = 147
n =
n = 21
Hence, the value of n is 21 and this is a 21-sided polygon.
See the graph
<h2>Explanation:</h2>Remember to write complete questions in order to get good and exact answers. Here you haven't provided any option, but it's easy to plot this point on a coordinate system in order to know the location of the movie theater. We know that this theater is at the point:
So let's plot this point in the cartesian plane:
- The x-coordinate is -4
- The y-coordinate is 2.
So the graph is shown below. Remember that the horizontal axis is called the x-axis while the vertical axis is called the y-axis.
- x > 0 for the x-values to the right of the origin.
- x < 0 for the x-values to the left of the origin.
- y > 0 for the y-values above the origin
- y < 0 for the y-values below the origin.
Cartesian coordinate system: brainly.com/question/2141683
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