- In any rhombus diagonals bisect each other at 90°.
in ∆DEC
[tex]\\ \tt\longmapsto DC^2=8^2+6^2=10^2[/tex]
[tex]\\ \tt\longmapsto DC=10[/tex]
m<DAX be x
[tex]\\ \tt\longmapsto sinx=\dfrac{DE}{AD}[/tex]
[tex]\\ \tt\longmapsto sinx=\dfrac{8}{10}[/tex]
[tex]\\ \tt\longmapsto sinx=\dfrac{4}{5}[/tex]
[tex]\\ \tt\longmapsto x\approx 53°[/tex]
