I don't know how to draw a picture for you in this space as you asked. So, stay with me. It's a combination of BASIC geometry principles, a little algebra and, of course, simple logic.
1. Draw a vertical line from the top angle straight down. That creates 2 triangles. The newly created angles are each 90 degrees because you've created two right angles at the bottom.
2. Since the three angles of any triangle need to add up to 180 degrees, work backwards. If one angle is 90 degrees, the other two need to add up together to be 90 degrees to equal 180.
3. Start with 3x-4. Logically speaking, the angle (visually) is probably around 45 degrees because it looks like about half the size of the 90 degree angle. Start with that premise. Plug in a number to the equation that equals about that number. I chose 15. 3(15)-4 = 41. OK. If the top angle (of this newly created triangle on the left) PLUS the 41 need to add up to 90, do the subtraction.... 90-41= 49.
4. Let's move to other triangle. We know the bottom angle is 90 and PART of the top angle is 49. Again, logically and visually suppose that that far right angle is about 30 degrees - because it's skinnier than the far left 41 degree angle AND.... we could say the angle is 30 degrees because 2(15) = 30. Remember that we plugged in 15 for x in the other equation.
5. Again, do the subtraction. If one angle is 90, the second is 30, what's the difference from 180? 60. So, that top angle (of the newly-created triangle on the right is 60 .... PLUS the 49 that got from the partial angle before = 60 + 49 = 109. So the FULL angle at the top is 109 degrees. AND, we know that's right because we can check it by plugging in the number 15 into the equation like this: 8x-11.... 8(15) - 11 = 120 - 11 = 109.
6. As the measure of the largest angle is 109 degrees, the answer is B.
