Respuesta :
Answer:
Step-by-step explanation:
I have some sympathy for the way the questions have been set up and numbered.
The givens are that the two lines that look like they are perpendicular, are perpendicular.
<JKP = 67 Given
<PKL = 180 - 67 < PKL is supplementary to <JKP
<PKL = 113
<PKM = 113 - 90 = 23
Here's what you want to know. <NKO = PKM because they are vertically opposite angles.
Therefore NKO = 23 degrees.
JL is perpendicular to MN, then
m ∠NKO= 23°
Given :
JL is perpendicular to MN and the m∠JKP= 67°
we need to find out m∠NKO
we know that JL is perpendicular to MN. so, <JKN makes an right angle .
m ∠JKN = 90°
PO is a straight line . It makes an angle 180 degree
m ∠JKP +m ∠JKN +m ∠NKO =180
[tex]67+90+m<NKO=180\\m<NKO=180-90-67\\m<NKO=23[/tex]
m ∠NKO= 23°
Learn more : brainly.com/question/17313084