Answer:
Answer:
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
