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Alegurar 20-gonFig 3.10Example 2: Find the number of sides of a regular polygon whose each exterior anglehas a measure of 45°.​

Answer»

\huge\mathfrak\red{Given}\::

  • Measure of exterior angle of a POLYGON is 45°

\huge\mathfrak\green{To\:Find}\::

  • No. of SIDES of regular polygon

\huge\mathfrak\blue{Solution}\::

◉ ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ◉

◆ Sum of all exterior ANGLES = 360°

No. of exterior angles = \sf{\dfrac{\cancel{360}}{\cancel{45}} \ = \ <klux>8</klux>}

★ No. of sides of regular polygon is 8

◦•●◉✿ ᴘᴏɪɴᴛ ᴛᴏ ʀᴇᴍᴇᴍʙᴇʀ ✿◉●•◦

☛ No.of exterior angles = No. of sides of polygon



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