Find the measure of each interior angle of
the following regular polygon.
b) Decagon
d Hexagon
a) Nonagon
c) 24-gon
Answers
Answer:
140
Step-by-step explanation:
Solution
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Correct option is
D
140
∘
Each interior angle of regular polygon of n sides is given by
n
180(n−2)
degree
∴ each interior angle =
9
180(9−2)
degree
=20×7
=140
0
Answer:
Hexagon
Step-by-step explanation:
Numbers of sides, n=6
Sum of the interior angles =(2n–4)90
0
=((2×6)–4)×90
0
=(12–4)90
0
=8×90
0
=720
0
Sum of the exterior angles =360
0
.
(ii) Octagon
Numbers of sides, n=8
Sum of the interior angles =(2n–4)90
0
=((2×8)–4)×90
0
=(16–4)90
0
=12×90
0
=1080
0
Sum of the exterior angles =360
0
.
(iii) Pentagon
Numbers of sides, n=5
Sum of the interior angles =(2n–4)90
0
=((2×5)–4)×90
0
=(10–4)90
0
=6×90
0
=540
0
Sum of the exterior angles =360
0
.
(iv) Nonagon
Numbers of sides, n=9
Sum of the interior angles =(2n–4)90
0
=((2×9)–4)×90
0
=(18–4)90
0
=14×90
0
=1260
0
Sum of the exterior angles =360
0
.
(v) Decagon
Numbers of sides, n=10
Sum of the interior angles =(2n–4)90
0
=((2×10)–4)×90
0
=(20–4)90
0
=16×90
0
=1440
0
Sum of the exterior angles =360
0
.