Math, asked by raviraj1750q, 4 hours ago

Find the angle which is 4 times its complement​

Answers

Answered by anshika7281
3

Answer:

The complement of the angle x is given by (90 - x). Hence, the angle which is four times its complement is 72 degrees.

Answered by TheGodWishperer
6

Solution:-

Complement of any angle is 90°-x°

here x= given angle

let assume the required angle be n

than complement of angle- 90°-n°

Also it is given that n is four times it complement.

hence

\mathtt{n =  4({90}^{o}  -  {n}^{o} )}

\mathtt{5n =  {360}^{o}  }

\mathtt{n =   \frac{ \:  \: {360}^{o}}{5}   }

\mathtt{n =    {72}^{o}   }

 \LARGE \red{\boxed{ \mathtt{answer    =   {72}^{o} }  }}

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