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Answer:
144°
Step-by-step explanation:
Given that, one interior angle is 108 degrees.
Sum of interior angles of a regular polygon = (n − 2) × 180°
Interior angle of a regular polygon = [(n − 2) × 180°] / n
108° = [(n − 2) × 180°]/n
108n = 180n - 360
72n = 360
n = 5
Therefore, the polygon has 5 sides.
Now we have to double the sides.
Therefore, no. of sides is 10.
Each angle measures
=[180°(n) – 360°] / n
=[180°(10) – 360°] / 10
=144°
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