Question

How many sides does a regular polygon have if the measures of its interior angles is 1. 140 degrees 2. 120 degrees ​

Answer 1

$\huge\bigstar\:$$\Huge\tt\underline\blue{ANSWER}$

The number of sides minus two, the result multiplied by 180 degrees equals the total number of degrees in the regular polygon.

$\huge\bigstar\:$$\Huge\tt\underline\blue{EXPLAINATION}$

The total number of degrees in the regular polygon divided by the number of sides (angles) is the number of degrees in each angle.

N is the number of sides.

140 is the number of degrees in each angle.

140 N = 180 (N-2)

140 N = 180 N -360

360 = 40 N

N = 9 sides, a nonagon

Answer 2

Answer:

★ \Huge\tt\underline\blue{ANSWER}

ANSWER

The number of sides minus two, the result multiplied by 180 degrees equals the total number of degrees in the regular polygon.

\huge\bigstar\:★ \Huge\tt\underline\blue{EXPLAINATION}

EXPLAINATION

The total number of degrees in the regular polygon divided by the number of sides (angles) is the number of degrees in each angle.

N is the number of sides.

140 is the number of degrees in each angle.

140 N = 180 (N-2)

140 N = 180 N -360

360 = 40 N

N = 9 sides, a nonagon