If an interior angle of a regular polygon measures 144° how many sides does the polygon have
1 answer:
Answer:
Step-by-step explanation:
The interior angle of a polygon is given by
(n-2)×180
or for regular polygon n × each interior angle.
Therefore since it is a regular polygon
Given than interior angle is 144
Then,
(n-2)×180=n× interior angle
180n-360=144n
180n-144n=360
36n=360
Then, n=360/36
n=10
Then the polygon has 10_sides which is a decagon.
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