Math, asked by adarsh59524, 1 month ago

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Answered by shubhamitakarmakar
1

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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