1 Answer

Griffins · Answer 1 · 2023-04-27T12:17:42+0000

$\longrightarrow \sf The \: angle's \:measure \:is \:15⁰$

Two angles are said to be complimentary if their sum is 90⁰. These angles are called compliment of each other.

$\red{\leadsto}\:$
$\textsf{let \: the \: angle \: be \:x }$

$\green{\leadsto}\:$
$\textsf{Complimentary \:angle \:will \:be \:5x }$
$\sf$

$\green{ \underline { \boxed{ \sf{Sum \: of \: complimentary \:angles = 90⁰}}}}$

$\begin{gathered}\\\implies\quad \sf x+5x = 90⁰ \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf 6x = 90⁰ \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf x = (90)/(6) \\\end{gathered}$

$\begin{gathered}\\\implies\quad \sf x = 15⁰\\\end{gathered}$

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