Answer:
x=18.5 y=14.2
Step-by-step explanation:
The unmarked angle for the top/x triangle is 109 (all angles add up to 180, 180-50-21=109)
Use cosine rule:
(a/sina)=(b/sinb)
(x/sin109)=(15/sin50)
(x/sin109)=19.58110934
x=18.51430261
The top-most angle of the bottom/y triangle is 71 (angles on a straight line are 180, 180-109=71)
The righthand angle of the bottom/y triangle is 19 (angles in a triangle add to 180, 180-71-90=19)
Use cosine rule again:
(a/sina)=(b/sinb)
(y/sin71)=(15/sin90)
y/sin71=15
y=14.18277863
