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SOLID MENSURATION
MATH 005A
Lecture #2
• Angles
a. Forms of angles
b. Systems in Angle Measurement
• Planes / Polygon
Angle

Forms of Angles
Angles

Measurement

Acute angle

The angle measures less than 90
degrees

Right angle

The angle measures exactly 90
degrees

Obtuse angle

The angle measures greater than
90 degrees but less than 180
degrees

Straight angle

The angle measures exactly 180
degrees

Reflex angle

The angle measures greater than
180 degrees but less than 270
degrees

Circular angle

The angle measures exactly 360
degrees
Systems in Angle
Measurement




Polygon
A polygon is a closed plane figure formed by line
segments.
 Parts of Polygon
a. sides – or the edge of the polygon, that make up
the polygon.
b. vertices – are the endpoints of each side
c. diagonal – is a line segment joining two nonadjacent vertices of the polygon.
d. interior angle – is the angle formed by two
adjacent sides inside the polygon
e. exterior angle – is an angle that is adjacent to and
supplementary to an interior angle of the polygon.

Naming of Polygon
Number of sides

Name of Polygon

3

Triangle or trigon

4

Quadrilateral or tetragon

5

Pentagon

6

Hexagon

7

Heptagon

8

Octagon

9

Nonagon

10

Decagon

11

Undecagon or hendecagon

12

Dodecagon

13

Tridecagon or triskaidecagon

14

Tetradecagon or tetrakaidecagon
15

Pentadecagon or pentakaidecagon

16

Hexadecagon or hexakaidecagon

17

Heptadecagon of heptakaidecagon

18

Octadecagon or octakaidecagon

19

Enneadecgaon or enneakaidecagon

20

icosagon

30

triacontagon

40

Tetracontagon

50

Pentacontagon

60

Hexacontagon

70

Heptacontagon

80

Octacontagon

90

Enneacontagon

100

Hectogon or hecatontagon
Side
s

Prefix

and

Sides

Suffix

20

icosa or icosi

kai

+

1

henagon

30

Triaconta

kai

+

2

digon

40

Tetraconta

kai

+

3

trigon

50

entaconta

kai

+

4

tetragon

60

Hexaconta

kai

+

5

pentagon

70

Heptaconta

kai

+

6

hexagon

80

Octaconta

kai

+

7

heptagon

90

Enneaconta

kai

+

8

octagon

9

enneagon

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