Question

construct an angle 75° by using scale and compass.
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Answer 1

ᴄᴏɴsᴛʀᴜᴄᴛɪᴏɴ ᴏғ ᴀɴ ᴀɴɢʟᴇ ᴏғ 75° ʙʏ ᴜsɪɴɢ ᴄᴏᴍᴘᴀss...

• (ɪ) ᴛᴀᴋᴇ ᴀ ʀᴀʏ ᴏᴀ.
• (ɪɪ) ᴡɪᴛʜ ᴏ ᴀs ᴄᴇɴᴛʀᴇ ᴀɴᴅ ᴀɴʏ ᴄᴏɴᴠᴇɴɪᴇɴᴛ ʀᴀᴅɪᴜs, ᴅʀᴀᴡ ᴀɴ ᴀʀᴄ ᴄᴜᴛᴛɪɴɢ ᴏᴀ ᴀᴛ ᴄ.
• (ɪɪɪ) ᴡɪᴛʜ ᴄ ᴀs ᴄᴇɴᴛʀᴇ ᴀɴᴅ ᴛʜᴇ sᴀᴍᴇ ʀᴀᴅɪᴜs, ᴅʀᴀᴡ ᴀɴ ᴄᴜᴛᴛɪɴɢ ᴛʜᴇ ғɪʀsᴛ ᴀʀᴄ ᴀᴛ ᴍ.
• (ɪᴠ) ᴡɪᴛʜ ᴍ ᴀs ᴄᴇɴᴛʀᴇ ᴀɴᴅ ᴛʜᴇ sᴀᴍᴇ ʀᴀᴅɪᴜs, ᴄᴜᴛ ᴏғғ ᴀɴ ᴀʀᴄ ᴄᴜᴛᴛɪɴɢ ᴀɢᴀɪɴ ᴛʜᴇ ғɪʀsᴛ ᴀʀᴄ ᴀᴛ ʟ.

Answer 2

Construction of an Angle of 75° by using Compass

(i) Take a ray OA. (ii) With O as centre and any convenient radius, draw an arc cutting OA at C. (iii) With C as centre and the same radius, draw an cutting the first arc at M.