Question

find the value of the following




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Answer 1

Given Angles:-

$\red{➤}\:$$\sf 2x ,3x \:and \: 4x$

To Find:-

$\orange{☛}\:$$\sf Value \: of \:all \: angles \: of \: triangle$

Solution:-

$\underline{\tt{Formula\:Applied}}$

$\green{ \underline { \boxed{ \sf{Sum \: of \:all \: sides \: of \: triangle = 180⁰}}}}$

$\underline{\tt\pink{Putting \:Values-}}$

$\begin{gathered}\\\quad\longrightarrow\quad \sf 2+3x+4x = 180⁰ \\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad \sf 9x = 180⁰ \\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad \sf x = \frac{180}{9}\\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad \sf x = 20⁰\\\end{gathered}$

Three Angles are -

$\begin{gathered}\\\quad\longrightarrow\quad \sf 2x = 2\times 20 = 40⁰\\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad \sf 3x = 3\times 20 = 60⁰\\\end{gathered}$

$\begin{gathered}\\\quad\longrightarrow\quad \sf 4x = 4\times 20 = 80⁰\\\end{gathered}$