Question

1. Angle MJP

Answer 1

Answer:

See explanation

Step-by-step 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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