Question

find the value of x if L||M
(please answer)​

Answer 1

$\large{\mathtt{\red{\underbrace{\overbrace{\blue{\boxed{\boxed{\pink{«Answer»}}}}}}}}}$

Since L || M

∴ 17x + 4° = 12° + 15x (corresponding angles)

=> 17x - 15x = 12°- 4°

=> 2x = 8°

=> x = $\dfrac{8°}{2}$

$=>\huge{\purple{\underline{\red{\boxed{\orange{ x = 4°}}}}}}$

So,

Substituting the value of 'x', we get :-

17x + 4° = 17(4) + 4° = 68° + 4° = 72°

15x = 12° + 15(4) = 12° + 60° = 72°

Answer 2

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⠀⠀⠀◍ $\tt{Take \:\:point\:\: A\:\: and\:\: B \:\:on \:\:line\:\: n}$

⠀⠀⠀◍ $\tt{Take \:\:point \:\:P on \:\:line\:\: l}$

⠀⠀⠀◍ $\tt{Take\:\: point\:\: Q \:\:on\:\: line \:\:m}$

⠀⠀⠀◍ $\tt{Name\: it\:\: S\: and \:\:F \:\:where \:\:line\:\: n\:\: is}$

⠀⠀⠀⠀$\tt{touching\:\: the\:\: line \:\:l \:\:and \:\:m\:\: at}$

⠀⠀⠀⠀$\tt{particular \:\:point.}$

⠀

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⠀⠀⠀◍ $\tt{line\:\: L||M}$

⠀⠀⠀◍ $\angle$$\tt{ASP \:= \:(17x \:+ \:4°)}$

⠀⠀⠀◍ $\angle$$\tt{SFQ\: =\: (12° \:+\: 15x)}$

⠀

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⠀⠀⠀◍ $\tt{The \:\:value \:\:of\:\: x.}$

⠀

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⠀⠀⠀✯ $\angle$$\tt{ASP}$ = $\angle$$\tt{SFQ}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$\tt{(Corresponding \:angle)}$

⠀⠀⠀✯ $\tt{17x\: +\: 4 \:= \:12\: + \:15x}$

⠀⠀⠀✯ $\tt{17x \:- \:15x\: = \:12\: -\: 4}$

⠀⠀⠀✯ $\tt{2x \:=\: 8}$

⠀⠀⠀✯ $\tt{x}$ = $\tt\dfrac{\cancel{8}}{\cancel{2}}$

⠀⠀⠀✯ $\tt{x \:=\: 4}$

⠀

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⠀⠀⠀★ $\tt{The \:\:the \:\:value \:\:of\:\: x\:\: is \:\:4.}$