measures of angles of polygons. b.2.1.1 determine the total number of degrees in the interior angles...
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![Page 1: Measures of Angles of Polygons. B.2.1.1 Determine the total number of degrees in the interior angles of a polygon in 3-8 sided figures (formula provided](https://reader036.vdocument.in/reader036/viewer/2022062314/56649eb35503460f94bb9bb6/html5/thumbnails/1.jpg)
Measures of Angles of Measures of Angles of PolygonsPolygons
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B.2.1.1 Determine the total number of degrees in the interior angles of a polygon in 3-8 sided figures (formula provided on the reference sheet).
B.2.1.2 Determine the measurement of one interior angle of a regular polygon (3-8 sided polygons, formula provided on the reference sheet).
B.2.1.3 Determine the number of degrees in the interior angles (3 - 8 sided polygons, formula provided on the reference sheet).
PA Standards
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Definition:
A polygon is a closed figure with line segments for sides. Polygons can have any number of sides.
** The sum of the measures of the angles in any triangle is 1800.
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Use the following formula to find the sum of the measures of the angles of a polygon.
180 x (n - 2)
n = the number of sides in the polygon
** this formula is on the reference sheet
Find the sum of the measure of the angles of the pentagon.
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Find the sum of the measure of all angles in this polygon.
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Quintana measures the angles of a polygon Quintana measures the angles of a polygon and finds that the sum is 360and finds that the sum is 36000. What kind of . What kind of polygon did she measure?polygon did she measure?
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A regular polygon is a special type of a figure that has congruent sides and congruent
angles.
To find the measure of any interior angle in a regular polygon, you can use the formula
180 (n - 2) n
n = the number of sides in the polygonn = the number of sides in the polygon
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What is the measure of one interior angle in What is the measure of one interior angle in a regular hexagon?a regular hexagon?
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How many degrees are there in a 7-sided How many degrees are there in a 7-sided polygon?polygon?
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What is the measure of Z?
Z
X
Y
450
150
300
1200
1800
900
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What is the measure of one of the angels in an equilateral triangle?
300
600
900
1200
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How many sides does a polygon with a total angle measure of 5400 have?
3
4
5
6
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How many degrees does a hexagon have?
3600
7200
9000
10800
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What is the sum of the measures of the angles in this polygon?
1800
3600
5400
7200
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How many sides does a polygon with 9000 have?
5
6
7
8
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The four angles of quadrilateral ABCD have the same measure. What is the measure of each angle?
450
600
900
1200
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What is the measure of F?
A
B
CD
E
F
1320
950
1240
1340
1030
900
1000
1100
1200
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Which figure or combination of figures has the greatest total measure of angels?
hexagon and one triangle
three triangles
two quadrilaterals
octagon
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What is the measure opf each interior angle of a regular octagon?
1080
1350
1600
1720
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