Tan θ =

∴ Tan (59°) =

x = [<span>Tan (59°)] (5)
</span> = (1.66428) (5)
x = 8.321 units
3y i'm not sure if thats right but thats what i got hope this helps
Answer:
x = 5 y = 9
Step-by-step explanation:
Answer:
x=67 degrees
Step-by-step explanation:
Same side interior angles are 180 degrees.
<PNL+54=180
<PNL=180-54
<PNL=126
Since |PN|=|NL|
2<PLN+126=180
2<PLN=180-126
2<PLN=54
<PLN=27
Angles on a straight line add up to 180
<PLN+<MLQ+70=180
27+<MLQ+70=180
<MLQ+97=180
<MLQ=180-97
<MLQ=83
<MQL+54+83=180----> sum of interior angles in triangle MQL is 180.
<MQL+137=180
<MQL=180-137
<MQL=43
But <MQL=43=<PQL ---> it was given that QL bisects ∠PQM
Now x+70+43=180----> sum of angles in triangle PQL


First, it's worth noting that angles on a straight line sum to 180°. We can use this information to find out the value of y:
180-52-59=69
y=69°
Another rule is that the angles in a triangle sum to 180° as well. This means that we can now find out x:
63+y+x=180
63+69+x=180
180-63-69=x
x=48°