prove and apply theorems about triangles

Question

T |\      

   \    \
    \        \
     \          \    

      \            \   Y

 20   \             |   \ 

          \          |         \

            \       |               \

              \    |                     \     

                \ |________________\Z
                 W             3x+5

Answer 1

WTZ looks like possibly a right triangle with base = height = 3x+5

WTY looks like an isosceles triangle with two sides = 3x+5 = WY = YT

maybe angle WYT is 2pi/3 = 120 degrees, just from the graph visually

then 20/sin150 =20/1/2 = 40 = (3x+5)/sin15 = 40

3x+5 = 40sin15 = 10.35

3x = 5.35

x = 1.78

sides are 3x+5 = 3(1.78) + 5 = 10.4 and 20.7 and 20. Maybe, given a visual guess at the angles