Answer:
See explanation
Explanation:
For triangle JNL: JLN = 180 - (90 + 39) = 51
so JLP = 51 - 28 = 23
8. side PL: cos JLP = OL/PL
=> PL = OL/cos JLP = 24/cos23 = 24/0.92 = 26
5. Side NP
sin NLP = NP/PL => NP = PL(sin NLP) = 26(sin28) = 26(0.47) = 12.22
7. side KP:
KP^2 = NP^2 + 30^2 = 12.22^2 + 30^2 = 149.33 + 900 = 1049.33
KP = 32.39
6. Side KM: KP^2 = KM^2 + 13^2
KM^2 = KP^2 - 13^2 = 1049.33 - 169 = 880.33
KM = 29.67
4. Angle KLJ: equals to angle NLJ
NLJ = 180 - (90 + 39) = 51
3. Angle NKP: cosNKP = 30/KP = 30/32.39 = 0.926
=> NKP = 22 degrees
2. Angle JKL
sin MKP = 13/KP = 13/32.39 = 0.401
=> MKP = 24 degrees
JKL = MKP + NKP = 24 + 22 = 46 degrees
1. Angle MJP
MJP + 39 = 180 - (JKL + KLJ)
MJP = 180 - (46 + 51) - 39 = 44
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