0

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

Updated: 11/1/2022

Wiki User

13y ago

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.

Wiki User

13y ago

Earn +20 pts
Q: What is the interior angle of a regular polygon when the exterior angle is 45 degrees?
Submit
Still have questions?
Related questions

### What is the exterior and interior angle of a regular 10 sided polygon?

Exterior = 36 degrees Interior = 144 degrees

### What is the interior and exterior angle of a regular polygon?

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.

### What is the exterior and interior angles of a regular polygon with 30 sides?

Exterior angle 12 degrees Interior angle 168 degrees

### What is the exterior and interior angles of a polygon with 30 sides?

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

### What is the answer of the polygon interior angle is five times the size of exterior?

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.

### What is the interior and exterior of a regular polygon with 24 side?

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

### If the exterior angle of a regular polygon is 108 degrees how many sides does the polygon have?

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

360

### What is the interior and exterior angle of a regular polygon with 24 sides?

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

### What is the measures of an interior angle and an exterior angle of a regular polygon with 6 sides?

Interior angle = 120 degrees Exterior angle = 60 degrees

### What is the interior and exterior angles of a regular 8 sided polygon?

Interior angle: 135 degrees Exterior angle: 45 degrees

### What is the measure of an interior and an exterior angle of a regular polygon with 5 sides?

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