Answered

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An angle is equal to one-fifth its complement.
Find the angle's measure

Sagot :

Answer :-

[tex]\longrightarrow \sf The \: angle's \:measure \:is \:15⁰[/tex]

Solution:-

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

Assumption :-

[tex]\red{\leadsto}\:[/tex][tex]\textsf{let \: the \: angle \: be \:x } [/tex]

[tex]\green{\leadsto}\:[/tex][tex]\textsf{Complimentary \:angle \:will \:be \:5x }[/tex][tex]\sf [/tex]

[tex]\green{ \underline { \boxed{ \sf{Sum \: of \: complimentary \:angles = 90⁰}}}}[/tex]

[tex]\begin{gathered}\\\implies\quad \sf x+5x = 90⁰ \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 6x = 90⁰ \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf x = \frac{90}{6} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf x = 15⁰\\\end{gathered} [/tex]

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