Question

. In
In A ABC, LA=70, LB=35 find LC​

Answer 1

$\huge\color{red}{Solution\: :-}$

$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\: Angle \: sum \: property \: = \: 180° }} }\\ \\\end{gathered}\end{gathered}$

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$\begin{gathered}\begin{gathered}\underline{\boldsymbol{According\: to \:the\: Question :}} \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: LA \: + \: LB \: + \: LC \: =\: 180° \\ \\ \\\end{gathered}\end{gathered}$

$\sf\green{Putting \: the \: Values }$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: 70 \: + \: 35 \: + \: LC \: =\: 180° \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: 105°\: + \: LC \: = \:180° \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: LC \: = \: 180° \: - \: 105 \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\: LC \: = \: 75° }} }\\ \\\end{gathered}\end{gathered}$

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VERIFICATION

$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\: 70 \:+ \: 35 \: + \: 75 \: = \: 180° }} }\\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\: 180°\: = \: 180° }} }\\ \\\end{gathered}\end{gathered}$

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Hence, 75° is the correct value of LC