Best Answer

The interior and exterior angles of a polygon are supplementary, that is sum to 180o. Thus:

interior_angle + exterior_angle = 180o

⇒ interior_angle = 180o - exterior_angle

⇒ interior_angle = 180o - 45o = 135o.

Q: What is the interior angle of a regular polygon when the exterior angle is 45 degrees?

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Exterior angle 12 degrees Interior angle 168 degrees

A regular polygon of 30 sides will each have an exterior angle of 12 degrees and an interior angle of 168 degrees.

Interior + Exterior = 180 and Interior = 5*Exterior So interior = 150 degrees and exterior = 30 degrees. Nothing more may be said unless it is known that the polygon is regular.

360

Each interior angle is 165 degrees Each exterior angle is 15 degrees

Related questions

Exterior = 36 degrees Interior = 144 degrees

Each exterior angle of a regular polygon with n sides is 360/n degrees. Each interior angle of a regular polygon is 180 - Exterior angle. A direct formula for the interior angle is 180*(n-2)/n degrees.

Exterior angle 12 degrees Interior angle 168 degrees

A regular polygon of 30 sides will each have an exterior angle of 12 degrees and an interior angle of 168 degrees.

Interior + Exterior = 180 and Interior = 5*Exterior So interior = 150 degrees and exterior = 30 degrees. Nothing more may be said unless it is known that the polygon is regular.

Each interior angle is 165 degrees Each exterior angle is 15 degrees

That's true if the interior angles are 108 degrees, but a regular polygon cannot have exterior angles of 108 degrees.

360

Each interior angle is 165 degrees Each exterior angle is 15 degrees

Interior angle = 120 degrees Exterior angle = 60 degrees

Interior angle: 135 degrees Exterior angle: 45 degrees

Each exterior angle: 72 degrees Each interior angle: 108 degrees