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Angles in Polygons
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What is the sum of the interior angle of a nonagon?
1260°
Will a regular pentagon tessellate? Explain your answer.
No, as angles do not add up to 360° when placed together.
Will a regular pentagon tessellate? Explain your answer.
No, as angles do not add up to 360° when placed together.
Will a regular pentagon tessellate? Explain your answer.
No, as angles do not add up to 360° when placed together.
Will a regular pentagon tessellate? Explain your answer.
No, as angles do not add up to 360° when placed together.
Will a regular hexagon tessellate with itself?
Yes, because the interior angles of a regular hexagon are all 120°, so when three hexagons are put together they make an angle of 360°, there will be no gaps.
Is it possible to have a regular polygon whose each interior angle is 110°
Not possible
Interior angle plus exterior angle is equal to
180°
A(4,5) B(10,-8) Find the horizontal and vertical distance.
Horizontal = 6 Vertical = 13
A pattern made by fitting shapes together, with no spaces and overlapping.
Tessellations
Find the number of sides of a regular polygon with 18° as the exterior angle.
20 sides
What is sum of the exterior angles of any polygon?
360°
Why 4180 cannot be the sum of the interior angles of a polygon?
4180 is not a multiple of 180
A polygon has n sides. What would be the sum of the interior angles of this n-sided polygon?
180(n-2)
If the sum of the measures of six angles of a heptagon is 864°, the the measure of the seventh angle is ....
36°
A polygon whose interior angles have a sum smaller than the sum of its exterior angles is a ____________________.
Triangle
What is the measure of each interior angle of a regular 45-gon?
172°
What is the sum of the exterior angles of a 100-gon?
360°
Find the measure of an interior and an exterior angle of a regular 24-gon. Both answers need to be correct.
In=165°   Ex =5°
The measure of one interior angle of a regular polygon is 144°. How many sides does it have?
n=10
The measure of an exterior angle of a regular polygon is 2x, and the measure of an interior angle is 4x. Find the measure of one interior and exterior angle
Ex-60°  In-120°
Which polygon has angles which have a sum of 2520°
16-gon
The measure of one exterior angle of a regular polygon is 72°. Find the number of sides.
n=5
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