<p>Instead of using the pythagorean theorem to approximate the angle, you can easily find the largest angle using the law of cosines. Make the side that is 6 c, and by c^2=a^2+b^2-2ab(cos(c)) you get 36=(16+9)-(2<em>4</em>3*cos(c)) which simplifies to 11=-24cos(c). divide by -24 and take the inverse cosine of your answer and you get the angle is approximately 117 degrees, making the answer choice E.</p>