Convert 72° 36' 45" into centesimal measurement.

8

Step-by-step explanation:

x= centesimal angle (100 degrees in a

right angle)

y= sexagesimal angle (90 degrees in a

right angle)

=

x - y = 15

xx90/100 = y

xx9/10 = y

X - XX9/10 = 15

10x/10 - 9x/10 = 15

=

X/10 = 15

x= 150

y = 150x9/10 = 15x9 = 135

=

using centesimal system:

the sum of all external angles in a

polygon is 400 degrees (a full circle).

one external angle is the complement

of one internal angle to 200 degrees =

200-150=50 degrees.

to find the number of sides of the

polygon we need to find the number of

angles or corners. and that is how many

external angles fit into the full circle.

n = 400/50 = 8

=

the polygon has 8 sides

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step-by-step explanation: