Nadiera N

07 November 2024 02:47

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Nadiera N

07 November 2024 02:47

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Jawaban terverifikasi

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Yuana A

Level 21

07 November 2024 03:49

Jawaban terverifikasi

<p>Sudut berpelurus besarnya 180°. Pada gambar dapat dilihat bahwa ∠KLN dan ∠MLN membentuk sudut berpelurus, maka:</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;∠KLN + ∠MLN = 180°</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; (3x + 15°) + (2x + 10°) = 180°</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 3x + 2x + 15° + 10° = 180°</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;5x +25° = 180°</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 5x = 180° - 25°</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 5x = 155°</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; x = 31</p><p>Besar pelurus dari ∠KLN adalah besar ∠MLN, maka substitusikan nilai&nbsp;</p><p>x = 31 ke sudut MLN:</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; ∠MLN = 2x + 10°</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 2(31) + 10°</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 62 + 10°</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 72°&nbsp;</p><p>Jadi, besar pelurus ∠KLN adalah 72° (b)</p>

Sudut berpelurus besarnya 180°. Pada gambar dapat dilihat bahwa ∠KLN dan ∠MLN membentuk sudut berpelurus, maka:

                                 ∠KLN + ∠MLN = 180°

                                  (3x + 15°) + (2x + 10°) = 180°

                                  3x + 2x + 15° + 10° = 180°

                                   5x +25° = 180°

                                            5x = 180° - 25°

                                            5x = 155°

                                              x = 31

Besar pelurus dari ∠KLN adalah besar ∠MLN, maka substitusikan nilai 

x = 31 ke sudut MLN:

                                  ∠MLN = 2x + 10°

                                                = 2(31) + 10°

                                                = 62 + 10°

                                                = 72° 

Jadi, besar pelurus ∠KLN adalah 72° (b)


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Aurora R

Level 31

08 November 2024 12:53

<p>jawabannya 108 derajat</p><p>&nbsp;</p><p>&nbsp;</p><p>penjelasan di foto berikut</p>

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