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Byju's Answer
Standard VI
Mathematics
Octagon
15(i) three a...
Question
15(i) three angles of a polygon are 80 each. the remaining angles are 160 each. calculate the number of sides of the polygon.
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Solution
Dear student
Let
n
=
number
of
sides
in
the
polygon
The
sum
of
the
measures
if
all
interior
angles
is
(
n
-
2
)
180
°
So
,
if
three
interior
angle
measures
80
°
each
and
the
(
n
-
2
)
+
3
=
n
+
1
remaining
interior
angles
measure
160
each
For
the
sum
of
all
measures
in
degrees
we
can
write
the
equation
3
80
°
+
(
n
+
1
)
160
°
=
n
-
2
180
°
⇒
240
°
+
160
n
+
160
°
=
180
n
-
360
°
⇒
760
°
=
20
n
⇒
n
=
38
Regards
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