A regular polygon has one of its interior angles as 144°. a) Name the polygon. b) Find the number of sides. c) Find the sum of its interior angles.

Here are the solutions to your problems: Problem 1 (Left Column): A regular polygon has one of its interior angles as 144°. a) Name the polygon. Step 1: Find the exterior angle. The sum of an interior angle and its corresponding exterior angle is 180°. Exterior Angle = 180° − Interior Angle; Exterior Angle = 180° − 144° = 36° Step 2: Find the number of sides (n). For any regular polygon, the sum of its exterior angles is 360°. Therefore, each exterior angle is $

A regular polygon has one of its interior angles as 144°. a) Name the polygon. b) Find the number of sides. c) Find the sum of its interior angles.

Here are the solutions to your problems: Problem 1 (Left Column): A regular polygon has one of its interior angles as 144°. a) Name the polygon. Step 1: Find the exterior angle. The sum of an interior angle and its corresponding exterior angle is 180°. Exterior Angle = 180° − Interior Angle; Exterior Angle = 180° − 144° = 36° Step 2: Find the number of sides (n). For any regular polygon, the sum of its exterior angles is 360°. Therefore, each exterior angle is $

Solved: A regular polygon has one of its interior angles as…

Here are the solutions to your problems:

** (Left Column): A regular polygon has one of its interior angles as 144°.**

a) Name the polygon.

Find the exterior angle.
The sum of an interior angle and its corresponding exterior angle is $180^\circ$ .
$\text{Exterior Angle} = 180^\circ - \text{Interior Angle}$ $\text{Exterior Angle} = 180^\circ - 144^\circ = 36^\circ$
Find the number of sides ( $n$ ).
For any regular polygon, the sum of its exterior angles is $360^\circ$ . Therefore, each exterior angle is $\

A regular polygon has one of its interior angles as 144°. a) Name the polygon. b) Find the number of sides. c) Find the sum of its interior angles.

Step-by-step solution

Find the exterior angle.

Find the number of sides ( $n$ ).

Still stuck on this one?

More Mathematics Questions

A regular polygon has one of its interior angles as 144°. a) Name the polygon. b) Find the number of sides. c) Find the sum of its interior angles.

Step-by-step solution

Find the exterior angle.

Find the number of sides (nnn).

Still stuck on this one?

More Mathematics Questions

Find the number of sides ( $n$ ).