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Sedbober [7]
2 years ago
13

Find the angle which is 6 times its complement​

Mathematics
2 answers:
anyanavicka [17]2 years ago
7 0

\qquad\qquad\huge\underline{{\sf Answer}}

\textsf{Let the angle be x, then it's complement }\textsf{will be } ~

\qquad \sf  \dashrightarrow \:  \dfrac{x}{6}

\textsf{And as we know, sum of complimentary angles } \textsf{measure 90°}

\qquad \sf  \dashrightarrow \: x +  \dfrac{x}{6} = 90

\qquad \sf  \dashrightarrow \:  \dfrac{6x + x}{6}  = 90

\qquad \sf  \dashrightarrow \: 7x = 90 \times 6

\qquad \sf  \dashrightarrow \: x =  \dfrac{540}{7}

\textsf{So, the required angle is } {\sf{{\dfrac{540\degree}{7}}}}

Marysya12 [62]2 years ago
4 0
Using subUsing substitution for Y, the top equation becomes X +6z= 180. Using elimination with X +6z= 180 and subtracting X+z= 90 result is 5z=90 and Z= 18. So complimentary angle is 18°
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Hope this helps! :)

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Answer:

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Step-by-step explanation:

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