Question

Q4 In a triangle if two angles are 45° and 35° then find out the value of the
third angle.​

Answer 1

Answer:

this is right answer I thought and solved please like and follow

Answer 2

Given : The two angles of Triangle are 45⁰ and 35⁰ .

Need To Find : The third angle of Triangle.

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❒ Let's consider third angle of Triangle be x .

$\sf{\dag{\underline { As,\:We\:Know\:that\:,}}}$

⠀⠀⠀⠀⠀$\implies \sf{\underline {The\:sum\:of\:all\:angle\:of\:triangle \:is\:180\degree}}$

Or ,

⠀⠀⠀⠀⠀$\implies \sf{\underline {\angle A \:+\angle \:B\:+\angle C\:=\:\:180\degree}}$

⠀⠀⠀⠀⠀⠀$\underline {\bf{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}$

⠀⠀⠀⠀⠀$:\implies {\sf{45\degree \:+35\degree \:+x=\:\:180\degree}}$

⠀⠀⠀⠀⠀$:\implies {\sf{80\degree \:+x=\:\:180\degree}}$

⠀⠀⠀⠀⠀$:\implies {\sf{ \:x=\:\:180\degree-80\degree}}$

⠀⠀⠀⠀⠀$:\underline {\boxed {\pink{\sf{ \:x\:=\:\:100\degree}}}}$

Therefore,

⠀⠀⠀⠀⠀$\therefore\underline { \mathrm {  Third \:Angle (\angle)\:of\:Triangle \:is\:80\degree}}$

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$\qquad \qquad\large {\boxed{\sf{\mid{\underline {\overline {\star \:Verification \:}}}\mid}}}$

$\sf{\dag{\underline { As,\:We\:Know\:that\:,}}}$

⠀⠀⠀⠀⠀$\implies \sf{\underline {The\:sum\:of\:all\:angle\:of\:triangle \:is\:180\degree}}$

Or ,

⠀⠀⠀⠀⠀$\implies \sf{\underline {\angle A \:+\angle \:B\:+\angle C\:=\:\:180\degree}}$

⠀⠀⠀⠀⠀⠀$\underline {\bf{\star\:Now \: By \: Substituting \: the \: Given \:and\:Found\: Values \::}}$

⠀⠀⠀⠀⠀$:\implies {\sf{45\degree \:+35\degree \:+100\degree=\:\:180\degree}}$

⠀⠀⠀⠀⠀$:\implies {\sf{80\degree \:+100\degree=\:\:180\degree}}$

⠀⠀⠀⠀⠀$:\underline {\boxed {\pink{\sf{ \:180\degree \:=\:\:180\degree}}}}$

⠀⠀⠀⠀⠀$\therefore \underline{\bf{ Hence \:Verified \:}}$

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