Question

What is true about this figure?

• A. It is a quadrilateral
• B. It is a polygon
• C. It is an octagon
• D. It is a regular polygon

Answer 1

Answer: (B)

It is a polygon

The given figure is a polygon because,

$\Rightarrow$ The figure has Ten sides So sum of the interior angles of given figure is $(n-2)\times$180${}^{\circ }$ i.e 1140${}^{\circ }$ (because $n=10$)

$\Rightarrow$ so figure can't be quadrilateral, Octagon or regular Polygon.

$\Rightarrow$ Because quadrilateral has four sides, Octagon has eight sides, a regular polygon has only five sides and the sum of its interior angles are 360${}^{\circ }$, 1080${}^{\circ }$ and 540${}^{\circ }$

$\Rightarrow$ So the answer can't be option A, C, or D.

Hence, the correct option is option B.