A conic M, in standard or reflected standard form, is rotated through an angle r about the origin to obtain the conic N with equation ax 2 +bxy+cy 2...

A conic M, in standard or reflected standard form, is rotated through an angle r about the origin to obtain the conic N with equation

ax2+bxy+cy2=d

where a = 14, b = 4, c = 45 and d = 46.

To two decimal places, what is the absolute value of the angle r in degrees?  As usual, do not give any units in your answer.  Do not include a minus sign in your answer.