Question

Please help this is due Friday at 11:59 and i don't get it . please answer it step by step ​

Answer 1

The angle <SXN measures 108 degrees, and the angle <SXV measures 72 degrees.

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!