Answer :
The number of sides of the regular polygon each interior angle measuring 168° is 30. Thus, the correct option is B.
What is a polygon?
A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.
The measure of interior angles of a regular polygon is given by the formula,
[tex]\text{Measure of an interior angle} = \dfrac{(n-2) \times 180^o}{n}[/tex]
where n is the number of sides in the polygon.
Since it is given that measure of an interior angle of the polygon is 168°. Therefore, the number of sides will be,
[tex]168 = \dfrac{(n-2) \times 180^o}{n}[/tex]
168n = 180n - 360
180n - 168n = 360
12n = 360
n = 30
Hence, The number of sides of the regular polygon each interior angle measuring 168° is 30.
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