NUMBER 4 if m∠JKP= 67°, find m∠NKO

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

m ∠NKO= 23°

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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.

step-by-step explanation:

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7

step-by-step explanation:

the answer would be 7