Answer:
Ray DC and Ray DE
Step-by-step explanation:
Answer:
The angle <SXN measures 108 degrees, and the angle <SXV measures 72 degrees.
Step-by-step explanation:
To determined the angles <SXN and <SXV, you need to first figure out what <SNX amounts to and then use the angle-sum property of the triangle NSX.
The following is true:
<SNX = 90 - <QNX (this is because <QNS is a right angle)
and
<QNX = <YNP = 56 (given)
so
<SNX = 90 - 56 = 34 degrees
Now, using the triangle-sum property:
<SXN = 180 - <SNX - <XSN = 180 - 34 - 38 = 108 degrees
Now that you have <SXN, to determine <SXV use the property that <SXV is supplementary angle to <SXN, hence
<SXV = 180 - <SXN = 180 - 108 = 72 degrees
All done!
It can be changed after experimenting and testing to see if something else is better than the current. :-]
