Question

Explain :
•Angles
•Type Of Angles
​

Answer 1

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$\huge \mathfrak \blue{ Answer :}$

• ${\rm{\pink{Angle:}}}$ In geometry, an angle can be defined as the figure formed by two rays meeting at a common end point. ... Here, the angle below is ∠AOB. Angles are measured in degrees, using a protractor.

$\large \mathfrak \blue{ Type \: of \: Angles :}$

• ${\rm{\pink{Acute \: Angle : }}}$An Angle smaller than a right angle is called an Acute angle. I.e , Acute angle = 90⁰

• ${\rm{\pink{Right \: Angle : }}}$An angle larger than a acute angle but smaller than a straight angle is called an Right angle.

• ${\rm{\pink{Obtuse \: Angle : }}}$An Angle larger than a Right angle but smaller than a straight angle is called a Obtuse Angle.

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$\large \mathfrak \blue{ More \: Information :}$

• Straight Angle = 180⁰

• Right Angle = 90⁰

• Complete Angle = 360⁰

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Answer 2

ᴛʏᴘᴇꜱ ᴏꜰ ᴀɴɢʟᴇꜱ

ᴛʜᴇ ᴀɴɢʟᴇꜱ ᴀʀᴇ ᴄʟᴀꜱꜱɪꜰɪᴇᴅ ᴜɴᴅᴇʀ ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ᴛʏᴘᴇꜱ:

ᴀᴄᴜᴛᴇ ᴀɴɢʟᴇ – ᴀɴ ᴀɴɢʟᴇ ᴍᴇᴀꜱᴜʀᴇ ʟᴇꜱꜱ ᴛʜᴀɴ 90 ᴅᴇɢʀᴇᴇꜱ

ʀɪɢʜᴛ ᴀɴɢʟᴇ – ᴀɴ ᴀɴɢʟᴇ ɪꜱ ᴇxᴀᴄᴛʟʏ ᴀᴛ 90 ᴅᴇɢʀᴇᴇꜱ

ᴏʙᴛᴜꜱᴇ ᴀɴɢʟᴇ – ᴀɴ ᴀɴɢʟᴇ ᴡʜᴏꜱᴇ ᴍᴇᴀꜱᴜʀᴇ ɪꜱ ɢʀᴇᴀᴛᴇʀ ᴛʜᴀɴ 90 ᴅᴇɢʀᴇᴇꜱ ᴀɴᴅ ʟᴇꜱꜱ ᴛʜᴀɴ 180 ᴅᴇɢʀᴇᴇꜱ

ꜱᴛʀᴀɪɢʜᴛ ᴀɴɢʟᴇ – ᴀɴ ᴀɴɢʟᴇ ᴡʜɪᴄʜ ɪꜱ ᴇxᴀᴄᴛʟʏ ᴀᴛ 180 ᴅᴇɢʀᴇᴇꜱ

ʀᴇꜰʟᴇx ᴀɴɢʟᴇ – ᴀɴ ᴀɴɢʟᴇ ᴡʜᴏꜱᴇ ᴍᴇᴀꜱᴜʀᴇ ɪꜱ ɢʀᴇᴀᴛᴇʀ ᴛʜᴀɴ 180 ᴅᴇɢʀᴇᴇꜱ ᴀɴᴅ ʟᴇꜱꜱ ᴛʜᴀɴ 360 ᴅᴇɢʀᴇᴇꜱ

ꜰᴜʟʟ ᴀɴɢʟᴇ – ᴀɴ ᴀɴɢʟᴇ ᴡʜᴏꜱᴇ ᴍᴇᴀꜱᴜʀᴇ ɪꜱ ᴇxᴀᴄᴛʟʏ ᴀᴛ 360 ᴅᴇɢʀᴇᴇꜱ

ᴅɪꜰꜰᴇʀᴇɴᴛ ᴛʏᴘᴇꜱ ᴏꜰ ᴀɴɢʟᴇꜱ

ʙᴀꜱᴇᴅ ᴏɴ ᴛʜᴇꜱᴇ ᴀɴɢʟᴇꜱ ᴀɴᴅ ᴛʜᴇ ʟɪɴᴇꜱ, ɪᴛ ɪꜱ ꜰᴜʀᴛʜᴇʀ ᴄʟᴀꜱꜱɪꜰɪᴇᴅ ɪɴᴛᴏ ᴅɪꜰꜰᴇʀᴇɴᴛ ᴛʏᴘᴇꜱ ꜱᴜᴄʜ ᴀꜱ ᴄᴏᴍᴘʟᴇᴍᴇɴᴛᴀʀʏ ᴀɴɢʟᴇꜱ, ꜱᴜᴘᴘʟᴇᴍᴇɴᴛᴀʀʏ ᴀɴɢʟᴇꜱ, ᴀᴅᴊᴀᴄᴇɴᴛ ᴀɴɢʟᴇꜱ, ᴠᴇʀᴛɪᴄᴀʟ ᴀɴɢʟᴇꜱ, ᴀʟᴛᴇʀɴᴀᴛᴇ ɪɴᴛᴇʀɪᴏʀ ᴀɴɢʟᴇꜱ, ᴀʟᴛᴇʀɴᴀᴛᴇ ᴇxᴛᴇʀɪᴏʀ ᴀɴɢʟᴇꜱ, ᴀɴᴅ ꜱᴏ ᴏɴ.

ɢᴇᴏᴍᴇᴛʀʏ

2ᴅ ꜱʜᴀᴘᴇꜱ

3ᴅ ꜱʜᴀᴘᴇꜱ

ᴛʏᴘᴇꜱ ᴏꜰ ᴀɴɢʟᴇꜱ

ᴀ ꜱᴇʀɪᴇꜱ ᴏꜰ ᴀɴɢʟᴇꜱ ᴀʀᴇ ꜰᴏʀᴍᴇᴅ ᴡʜᴇɴ ᴛʜᴇ ᴛʀᴀɴꜱᴠᴇʀꜱᴀʟ ᴄᴜᴛꜱ ᴛᴡᴏ ᴏʀ ᴍᴏʀᴇ ʟɪɴᴇꜱ. ꜱᴘᴇᴄɪꜰɪᴄ ɴᴀᴍᴇꜱ ᴀʀᴇ ɢɪᴠᴇɴ ᴛᴏ ᴛʜᴇ ᴘᴀɪʀ ᴏꜰ ᴀɴɢʟᴇꜱ, ᴡʜɪᴄʜ ᴅᴇᴘᴇɴᴅꜱ ᴏɴ ᴛʜᴇ ʟᴏᴄᴀᴛɪᴏɴ ᴏꜰ ᴛʜᴇ ᴀɴɢʟᴇ ɪɴ ʀᴇʟᴀᴛɪᴏɴ ᴛᴏ ᴛʜᴇ ʟɪɴᴇꜱ. ᴛʜᴇ ʟɪɴᴇꜱ ᴍᴀʏ ʙᴇ ᴇɪᴛʜᴇʀ ᴀ ᴘᴀʀᴀʟʟᴇʟ ʟɪɴᴇ ᴏʀ ᴀ ɴᴏᴛ-ᴘᴀʀᴀʟʟᴇʟ ʟɪɴᴇ. ꜱᴏᴍᴇ ᴏꜰ ᴛʜᴇ ɪᴍᴘᴏʀᴛᴀɴᴛ ᴘᴀɪʀ ᴏꜰ ᴀɴɢʟᴇꜱ ᴀʀᴇ:

ᴄᴏʀʀᴇꜱᴘᴏɴᴅɪɴɢ ᴀɴɢʟᴇꜱ

ᴀʟᴛᴇʀɴᴀᴛᴇ ɪɴᴛᴇʀɪᴏʀ ᴀɴɢʟᴇꜱ

ᴀʟᴛᴇʀɴᴀᴛᴇ ᴇxᴛᴇʀɪᴏʀ ᴀɴɢʟᴇꜱ

ɪɴᴛᴇʀɪᴏʀ ᴀɴɢʟᴇꜱ ᴏɴ ᴛʜᴇ ꜱᴀᴍᴇ ꜱɪᴅᴇ ᴏꜰ ᴛʀᴀɴꜱᴠᴇʀꜱᴀʟ

ꜱᴜᴘᴘʟᴇᴍᴇɴᴛᴀʀʏ ᴀɴɢʟᴇꜱ

ᴀᴅᴊᴀᴄᴇɴᴛ ᴀɴɢʟᴇꜱ

ᴠᴇʀᴛɪᴄᴀʟ ᴀɴɢʟᴇꜱ

ɴᴏᴡ ʟᴇᴛ ᴜꜱ ᴅɪꜱᴄᴜꜱꜱ ꜱᴏᴍᴇ ᴏꜰ ᴛʜᴇ ɪᴍᴘᴏʀᴛᴀɴᴛ ᴛʜᴇᴏʀᴇᴍꜱ ʙᴀꜱᴇᴅ ᴏɴ ᴛʜᴇ ʟɪɴᴇꜱ ᴀɴᴅ ᴀɴɢʟᴇꜱ:

ɪꜰ ᴛᴡᴏ ᴘᴀʀᴀʟʟᴇʟ ʟɪɴᴇꜱ ᴀʀᴇ ᴄᴜᴛ ʙʏ ᴀ ᴛʀᴀɴꜱᴠᴇʀꜱᴀʟ, ᴛʜᴇɴ ᴛʜᴇ ᴀʟᴛᴇʀɴᴀᴛᴇ ɪɴᴛᴇʀɪᴏʀ ᴀɴɢʟᴇꜱ ᴀʀᴇ ᴏꜰ ᴛʜᴇ ꜱᴀᴍᴇ ᴍᴇᴀꜱᴜʀᴇ.

ɪꜰ ᴛᴡᴏ ᴘᴀʀᴀʟʟᴇʟ ʟɪɴᴇꜱ ᴀʀᴇ ᴄᴜᴛ ʙʏ ᴀ ᴛʀᴀɴꜱᴠᴇʀꜱᴀʟ, ᴛʜᴇɴ ᴛʜᴇ ᴀʟᴛᴇʀɴᴀᴛᴇ ᴇxᴛᴇʀɪᴏʀ ᴀɴɢʟᴇꜱ ᴀʀᴇ ᴏꜰ ᴛʜᴇ ꜱᴀᴍᴇ ᴍᴇᴀꜱᴜʀᴇ.

ɪꜰ ᴛᴡᴏ ᴘᴀʀᴀʟʟᴇʟ ʟɪɴᴇꜱ ᴀʀᴇ ᴄᴜᴛ ʙʏ ᴀ ᴛʀᴀɴꜱᴠᴇʀꜱᴀʟ, ᴛʜᴇɴ ᴛʜᴇ ᴄᴏʀʀᴇꜱᴘᴏɴᴅɪɴɢ ᴀɴɢʟᴇꜱ ᴀʀᴇ ᴏꜰ ᴛʜᴇ ꜱᴀᴍᴇ ᴍᴇᴀꜱᴜʀᴇ.

ɪꜰ ᴛᴡᴏ ᴘᴀʀᴀʟʟᴇʟ ʟɪɴᴇꜱ ᴀʀᴇ ᴄᴜᴛ ʙʏ ᴀ ᴛʀᴀɴꜱᴠᴇʀꜱᴀʟ, ᴛʜᴇɴ ᴛʜᴇ ɪɴᴛᴇʀɪᴏʀ ᴀɴɢʟᴇꜱ ᴏɴ ᴛʜᴇ ꜱᴀᴍᴇ ꜱɪᴅᴇ ᴏꜰ ᴛʜᴇ ᴛʀᴀɴꜱᴠᴇʀꜱᴀʟ ᴀʀᴇ ꜱᴜᴘᴘʟᴇᴍᴇɴᴛᴀʀʏ.

ᴠᴇʀᴛɪᴄᴀʟ ᴀɴɢʟᴇꜱ ᴀʀᴇ ᴄᴏɴɢʀᴜᴇɴᴛ ᴡʜᴇɴ ᴛʜᴇ ꜱᴛʀᴀɪɢʜᴛ ʟɪɴᴇ ɪɴᴛᴇʀꜱᴇᴄᴛꜱ ᴛʜᴇ ʟɪɴᴇꜱ. ᴛʜᴇ ʟɪɴᴇꜱ ᴍᴀʏ ʙᴇ ᴇɪᴛʜᴇʀ ᴘᴀʀᴀʟʟᴇʟ ᴏʀ ɴᴏᴛ-ᴘᴀʀᴀʟʟᴇʟ

ᴘʀᴏᴘᴇʀᴛɪᴇꜱ ᴏꜰ ᴀɴɢʟᴇꜱ

ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ᴀʀᴇ ᴛʜᴇ ɪᴍᴘᴏʀᴛᴀɴᴛ ᴘʀᴏᴘᴇʀᴛɪᴇꜱ ᴏꜰ ᴀɴɢʟᴇꜱ:

••ᴛʜᴇ ꜱᴜᴍ ᴏꜰ ᴀʟʟ ᴛʜᴇ ᴀɴɢʟᴇꜱ ᴏɴ ᴏɴᴇ ꜱɪᴅᴇ ᴏꜰ ᴀ ꜱᴛʀᴀɪɢʜᴛ ʟɪɴᴇ ɪꜱ ᴀʟᴡᴀʏꜱ ᴇQᴜᴀʟ ᴛᴏ 180 ᴅᴇɢʀᴇᴇꜱ,

••ᴛʜᴇ ꜱᴜᴍ ᴏꜰ ᴀʟʟ ᴛʜᴇ ᴀɴɢʟᴇꜱ ᴀʀᴏᴜɴᴅ ᴛʜᴇ ᴘᴏɪɴᴛ ɪꜱ ᴀʟᴡᴀʏꜱ ᴇQᴜᴀʟ ᴛᴏ 360 ᴅᴇɢʀᴇᴇꜱ.