find the number of side of a regular polygon whose each exterior angle is twice of
a) twice of its interior angle
b) half of its interior angle
please give fast step by step explaination
Answers
Answered by
16
Answer:
The sum of exterior angle and its adjacent interior is 180
0
, that is,
e+i=180
0
Since each interior angle is twice its adjacent exterior angle, therefore, substitute i=2e.
e+2e=180
0
⇒3e=180
0
⇒e=
3
180
0
=60
0
We know that the measure of exterior angle is e=(
n
360
)
0
where n is the number of sides.
Here, it is given that the exterior angle is e=60
0
, therefore,
n=
e
360
=
60
360
=6
Hence, the number of sides is 6.
Answered by
5
Answer:
the first answer is 3
second answer is 6
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