Question

In the figure, if I || m, find the value of x.


Please answer with step by step explanation
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Answer 1

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Answer 2

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$\huge\color{cyan}\boxed{\colorbox{black}{Question ❤}}$

In the given figure, if I || m, find the value of x.

$\huge\color{cyan}\boxed{\colorbox{black}{Answer ❤}}$

$\Huge{\color{magenta}{\fbox{\textsf{\textbf{35° }}}}}$

$\huge\color{cyan}\boxed{\colorbox{black}{Given ❤}}$

$angle \: D = 60 ° \\ and \\ angle \: A = 25°$

$\huge\color{cyan}\boxed{\colorbox{black}{To find ❤}}$

$value \: of \: x°$

$\Huge{\color{magenta}{\fbox{\textsf{\textbf{Solution:-}}}}}$

$Since \\ ∠D + ∠1 = 180 \\ ( They \: are \: complementary \\ angles )$

$=> 60° + ∠1 = 180 ° \\ \\ =>∠1 = 180 ° – 60 ° \\ \\ => ∠1 =120°$

$Now, ∠1 = ∠2 \\ ( vertically \: opposite \\ angles) \\ \\ \\ Therefore , \: \: ∠2 = 120°$

$Now , \\ ABC \: is \: a \: triangle . \\ Therefore \: the \: sum \: of \\ all \: angles \: in \: a \\ triangle \: is \: 180°$

$so , \\ ∠A + ∠B + ∠C = 180 ° \\ =25 °+ ∠B + 120°= 180 ° \\=145 +∠B = 189 ° \\ =∠B = 35°$

$Therefore , \: the \: value \\ of \: x \: is \: 35.$

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