Question

If each interior angle of regular polygon is 135°

Find

The measure of each exterior angle

No.of sides of polygon

Name of polygon

Answer 1

Answer:

The octagon is regular, all of its sides and angles are congruent. Thus, the measure of each angle is equal to the sum of its angles divided by 8. Therefore, each angle in thepolygon has a measure of 1080/8 =135 degrees.

Answer 2

each interior angle = 135°

Interior angle + exterior angle = 180º

Finding exterior angle:

135 + exterior angle = 180

exterior angle = 180 - 135

exterior angle = 45º

Finding the number of sides:

Sum of all exterior angles = 360º

Number of sides = 360 ÷ 45 = 8 sides

Answer: It is a 8-sided polygon, I. e, an Octagon ☑️☑️

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