Chapter 1.6 Two Dimensional Figures. Concept Polygon vs. Non Polygon Polygons Non Polygons.
Measures of Angles of Polygons. B.2.1.1 Determine the total number of degrees in the interior angles...
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Transcript of Measures of Angles of Polygons. B.2.1.1 Determine the total number of degrees in the interior angles...
Measures of Angles of Measures of Angles of PolygonsPolygons
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
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.
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.
Find the sum of the measure of all angles in this polygon.
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?
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
What is the measure of one interior angle in What is the measure of one interior angle in a regular hexagon?a regular hexagon?
How many degrees are there in a 7-sided How many degrees are there in a 7-sided polygon?polygon?
What is the measure of Z?
Z
X
Y
450
150
300
1200
1800
900
What is the measure of one of the angels in an equilateral triangle?
300
600
900
1200
How many sides does a polygon with a total angle measure of 5400 have?
3
4
5
6
How many degrees does a hexagon have?
3600
7200
9000
10800
What is the sum of the measures of the angles in this polygon?
1800
3600
5400
7200
How many sides does a polygon with 9000 have?
5
6
7
8
The four angles of quadrilateral ABCD have the same measure. What is the measure of each angle?
450
600
900
1200
What is the measure of F?
A
B
CD
E
F
1320
950
1240
1340
1030
900
1000
1100
1200
Which figure or combination of figures has the greatest total measure of angels?
hexagon and one triangle
three triangles
two quadrilaterals
octagon
What is the measure opf each interior angle of a regular octagon?
1080
1350
1600
1720