One angle of a quadrilateral is `108^0` and the remaining three angles are equal. Find the three equal angles.

Options

A. `94^(@)`
B. `74^(@)`
C. `84^(@)`
D. `104^(@)`

Answer

C

Explanation

Let each of the three equal angles be `x^(@)`.
Now, sum of angles of a quadrilateral = `360^(@)`
`rArr" "108^(@)+x^(@)+x^(@)+x^(@)=360^(@)rArr3x^(@)=360^(@)-108^(@)`
`rArr" "x^(@)=(252^(@))/(3)` ltBrgt `therefore" "x^(@)=84^(@)`
Hence, each of the three equal angles is `84^(@)`.