Question

alegurar 20-gon
Fig 3.10
Example 2: Find the number of sides of a regular polygon whose each exterior angle
has a measure of 45°.​

Answer 1

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

• 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 = $\sf{\dfrac{\cancel{360}}{\cancel{45}} \ = \ 8}$

★ No. of sides of regular polygon is 8

◦•●◉✿ ᴘᴏɪɴᴛ ᴛᴏ ʀᴇᴍᴇᴍʙᴇʀ ✿◉●•◦

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