You have to go at this in a round-about fashion...by finding the length of the leg across from the 67 degree angle. This is found by using the tangent ratio...Tan(67)=x/137; x=137tan(67) = 322.8. Now you can use this in one of two ways: use Pythagorean's Theorem to find the length of the hypotenuse OR you could use the sin67=322.8/x. Up to you. Either way, make sure you have your calculator in degree mode!
Add all sides. 5x+2+3x+8+4x-1 Combine like terms 12x+9 Subtract nine to get it on the other side of the equal sign 12x= -9 Divide by twelve x=-9/12 Simplify x=-3/4 Plug in x.
