24) A regular polygon has interior angles of measure 162 degrees. Number of sides this polygon have is.
(A) 20
( B) 21
(C) 18
(D) 19

Open in App

Solution

Dear student
$We know that Exterior angle = 180 ° - interior angle \Rightarrow Exterior angle = 180 ° - 162 ° \Rightarrow Exterior angle = 18 ° So number of sides = \frac{360 °}{18 °} = 20 sides$
Regards

Suggest Corrections

Similar questions

Q. The measure of each interior angle of a regular convex polygon is

156^{\circ}

. Find the number of sides this polygon has.

Each interior angle of a regular polygon is 144°. The measure of each interior angle of a regular polygon which has double the number of sides as the first polygon is

The measure of an interior angle of a regular polygon is 140^o. The number of sides and diagonals in this polygon are:

Q. Each interior angle of a n-sided regular polygon is

162^{\circ}

. FInd the interior angle of another polygon with 2n sides.

The measure of each interior angle of a regular 18 - sided polygon is ___

Join BYJU'S Learning Program

24) A regular polygon has interior angles of measure 162 degrees. Number of sides this polygon have is. (A) 20 ( B) 21 (C) 18 (D) 19

Dear student We know thatExterior angle=180°-interior angle⇒Exterior angle=180°-162°⇒Exterior angle=18°So number of sides=360°18°=20sides Regards

24) A regular polygon has interior angles of measure 162 degrees. Number of sides this polygon have is.
(A) 20
( B) 21
(C) 18
(D) 19

Dear student
$We know that Exterior angle = 180 ° - interior angle \Rightarrow Exterior angle = 180 ° - 162 ° \Rightarrow Exterior angle = 18 ° So number of sides = \frac{360 °}{18 °} = 20 sides$
Regards