Question

One of the exterior angle of a regular polygon is 18°. Find the
sum of all the interior angles.​

Answer 1

Answer:

1440°

Step-by-step explanation:

We know that:

Sum of all exterior angles = 180°

Given that:

one exterior angle = 18°

Find the number of angles:

Number of angles = 180 ÷ 18 = 10

We know that:

Sum of all interior angles = (n - 2) x 180

We found out that:

Number of angles = 10

Find the sum of all interior angles:

Sum of all interior angles = (10 - 2) x 180 = 1440°

Answer: 1440°

Answer 2

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$\huge\underline{\underline{\texttt{\purple{1440°}}}}$