Question

5. If all the angles of an octagon are equal
, find the measure of each interior angle of the octagon,

Answer 1

Answer:

135°

Step-by-step explanation:

According to the formula of finding the total sum of all interior angles of a polygon with all sides equal, the total sum of all interior angles

= ( n - 2 ) × 180° where n is the number of sides of the polygon.

In this case the no. of sides is 8 therefore the total sum of all its interior angles

= ( 8 - 2 ) × 180° = 6 × 180° = 1080°

And on dividing it with the number of sides we will get the measure of each interior angle

= 1080°/8

= 135°

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