Question

what is the measure of each interior angle of aregular octagon

Answer 1

Hi friend!

The sum of all interior angles of a polygon with 'n' sides is
$(n - 2) \times 180$

Regular polygon : all angles same

Here,
$n = 8$

$(n - 2) \times 180 \\ \\ = (8 - 2) \times 180 \\ \\ = 6 \times 180 \\ \\ = 1080$

Each angle = Angle Sum /
$n$

$= 1080 \div 8 \\ \\ = 135$

Each angle = 135°

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