Question : The measure of each interior angle of a regular polygon with 8 sides is:
Option 1: $135^{\circ}$
Option 2: $120^{\circ}$
Option 3: $100^{\circ}$
Option 4: $45^{\circ}$
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Correct Answer: $135^{\circ}$
Solution :
Number of sides, $n$ = 8
Each interior angle of an octagon = $(\frac{2n-4}{n})×90^{\circ}$
= $(\frac{2×8-4}{8})×90^{\circ}$
= $(\frac{16-4}{8})×90^{\circ}$
= $\frac{12}{8}×90^{\circ}$
= $3 × 45^{\circ}$
= $135^{\circ}$
Hence, the correct answer is $135^{\circ}$.
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