Answer
$90^{\circ}$
Work Step by Step
We know that the angle between two vectors is:
$\theta =\cos^{-1} [ \dfrac{u \cdot v}{||u|| \space ||v|| }]$
Therefore, $u .v=(5)(-6)+(5)(6)=-30+30=0$
$\theta =\cos^{-1} [ 0]$
So, $\theta =90^{\circ}$