Determine the Angle $\theta$ Through Which the Axes Are Rotated $x ^ { 2 } + 2 x y + y ^ { 2 } = 10$

Multiple Choice

Determine the angle $\theta$ through which the axes are rotated.Round your answer to two decimal places. $x ^ { 2 } + 2 x y + y ^ { 2 } = 10$

A) $\theta = 45 ^ { \circ }$
B) $\theta = 60 ^ { \circ }$
C) $\theta = 90 ^ { \circ }$
D) $\theta = 145 ^ { \circ }$
E) $\theta = 30 ^ { \circ }$