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

Find The Given Value Of Each Angle For The Following Supplementary Angles Must Add Up To 180 class=

Sagot :

BRAINLYSPIRIT

QUESTION :

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

[tex]\Large{\underline{\mathcal{ Given : }}}[/tex]

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

[tex]\Large{\underline{\mathcal{Tofind : }}}[/tex]

  • value of each angle

[tex]\Large{\underline{\mathcal{Solution : }}}[/tex]

➱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

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ x = \frak{\red{ 8 }}}}}[/tex]

hence ,

the two angles will be

⇛ᴏɴᴇ ᴀɴɢʟᴇ :

➛(5x-13)°

➛5(8) - 13

➛40 - 13

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ᴏɴᴇ\: ᴀɴɢʟᴇ = \frak{\red{ 27° }}}}}[/tex]

⇛ᴀɴᴏᴛʜᴇʀ ᴀɴɢʟᴇ :

➛ (11x+65)°

➛11(8)+65

➛88 + 65

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ᴀɴᴏᴛʜᴇʀ\: ᴀɴɢʟᴇ = \frak{\red{ 153° }}}}}[/tex]

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