contestada

If an exterior angle of a regular polygon has an
angle measure of 45°, what is the measure of
each interior angle and what is the number of
sides?

Respuesta :

Solution :

We know that,

  • Sum of the measures of all exterior angles = 360°

Measure of each exterior angle = 45°

  • The number of sides of the polygon = 360°/45° = 8 .

Hence, the number of sides of the polygon is 8.

As, each exterior angle is 45° ,

Therefore,

  • The measure of each interior angle = 180° – 45° = 135°

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