Question

Write the sum of interior angles of an equilateral triangle, a regular quadrilateral, a regular pentagon.....etc as a sequence.

Answer 1

The sum of interior angles of a n-sided regular polygon is given by $(n-2)\times {180}^{\circ }$.
Hence sum of interior angles of an equilateral triangle is ${180}^{\circ }$, a regular quadrilateral is ${360}^{\circ }$ and that of a regular pentagon is ${540}^{\circ }$.
Hence the corresponding sequence is given by:
${180}^{\circ },{360}^{\circ },{540}^{\circ }\cdots \cdots$