I think that the answer is A) because the range is y.
Split the triangle into a 30-60-90 triangle. Since you have LM from that triangle, you can figure out the other sides. Then, using the leg from that triangle, the one next to it is a 45-45-90 triangle, meaning it's isosceles.
KM = 30 + 10√3
KL = 10√6
(sorry i'm not too sure if my "reasons" for statement/reason is correct)
Answer: X equals B.
Step-by-step explanation: all the degrees in a triangle add to be 180, so add up the given angles and subtract from 180 to get the missing angle.
Y = 90 degrees
1) The angles on a straight line add to 180 degrees so 180-110= 70 degrees.
2) The angles in a triangle add to 180 degrees so 70+70= 140 degrees. The angle at the top of the triangle will have to be 40 degrees as 140+40= 180 degrees.
3) As x is half the angle at the top of the triangle (40 degrees), x will equal 20 degrees.
4) As the angles in a triangle add to 180 degrees 20+70=90 degrees 180-90=90 degrees.
5) Answer = 90 degrees