Question

Consider the 699 N weight held by two cables
shown below. The left-hand cable had tension
T and makes an angle of θ with the wall. The
right-hand cable had tension 670 N and makes
an angle of 40◦ with the ceiling

Answer 1

Since you didn't post the pic I'm assuming something like this ?

Answer 2

Yikes

So basically you need to decompose both forces into their vertical and horizontal components, set net force equal to 0 in the y and x direction , and solve for T and theta