Find the measure at each interior angles or a regular polygon 1) 7 sides 2) 6 sides 3) 10 sides 4) 12 sides
Answers
Answer:
158.82
Step-by-step explanation:
⇒ Measure of each interior angle of regular polygon =
n
2n−4
×90
o
.
(i) Measure of each interior angle of regular polygon having 7 sides =
7
(2×7)−4
×90
o
.
=
7
10
×90
o
=128.57
o
(ii) Measure of each interior angle of regular polygon having 9 sides =
9
(2×9)−4
×90
o
.
=
9
14
×90
o
=140
o
(iii) Measure of each interior angle of regular polygon having 11 sides =
11
(2×11)−4
×90
o
.
=
11
18
×90
o
=147.27
o
(iv) Measure of each interior angle of regular polygon having 15 sides =
15
(2×15)−4
×90
o
.
=
15
26
×90
o
=156
o
(v) Measure of each interior angle of regular polygon having 17 sides =
17
(2×17)−4
×90
o
.
=
17
30
×90
o
=158.82
o
Answer:
1) 7 sides
Step-by-step explanation:
Regular heptagon has all seven sides of equal length.Each interior angle of a regularly heptagon measure 128.571 degree.