Question

Find the given value of each angle for the following supplementary angles must add up to 180

Answer 1

QUESTION :

Find the given value of each angle for the following supplementary angles must add up to 180

$\Large{\underline{\mathcal{ Given : }}}$

• one angle = (5x-13)°
• another angle = (11x+65)°

$\Large{\underline{\mathcal{Tofind : }}}$

• value of each angle

$\Large{\underline{\mathcal{Solution : }}}$

➱ᴛʜᴇ ᴛᴡᴏ ᴀɴɢʟᴇs ʟɪᴇs ᴏɴ ᴛʜᴇ sᴀᴍᴇ ʟɪɴᴇ

➱ѕσ ѕυм σƒ вσтн тнє αηgℓєѕ = 180°

therefore ,

⤳(5x-13)° + (11x+65)° = 180°

⤳5x -13° + 11x + 65° = 180°

⤳16x + 52° = 180°

⤳16x = 180° - 52°

⤳16x = 128°

⤳x = 128 /16

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ x = \frak{\red{ 8 }}}}}$

hence ,

the two angles will be

⇛ᴏɴᴇ ᴀɴɢʟᴇ :

➛(5x-13)°

➛5(8) - 13

➛40 - 13

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ᴏɴᴇ\: ᴀɴɢʟᴇ = \frak{\red{ 27° }}}}}$

⇛ᴀɴᴏᴛʜᴇʀ ᴀɴɢʟᴇ :

➛ (11x+65)°

➛11(8)+65

➛88 + 65

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ᴀɴᴏᴛʜᴇʀ\: ᴀɴɢʟᴇ = \frak{\red{ 153° }}}}}$