Izza D

22 April 2024 02:45

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Izza D

22 April 2024 02:45

Pertanyaan

tolong dijawab beserta cara yang lengkap, terimakasih

tolong dijawab beserta cara yang lengkap, terimakasih 

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Sumber W

Silver

22 April 2024 09:12

Jawaban terverifikasi

<p>1. &lt;AOB = &lt;COD &nbsp; (sudut saling bertolak belakang)</p><p>&nbsp; &nbsp; 3m + 83° = 12m + 2°</p><p>&nbsp; &nbsp; 12m - 3m = 83 - 2</p><p>&nbsp; &nbsp; 9m = 81°</p><p>&nbsp; &nbsp; m = 9°</p><p>&nbsp; &nbsp; &lt;AOB = 3m + 83°</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 3(9) + 83</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 27° + 83°</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 110°</p><p>&nbsp; &nbsp; &nbsp;&lt;AOD = 180° - &lt;AOB</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 180° - 110°</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;=<strong> 70°</strong></p><p>&nbsp; &nbsp; &nbsp;Jawaban : B</p><p>&nbsp;</p><p>2. &lt;AOD = &lt;COB</p><p>&nbsp; &nbsp; &nbsp;&lt;AOD = &lt;COE + &lt;BOE</p><p>&nbsp; &nbsp; &nbsp;10n = 3n + 19° + 4n + 7°</p><p>&nbsp; &nbsp; &nbsp;10n = 7n + 26°</p><p>&nbsp; &nbsp; &nbsp;10n - 7n = 26°</p><p>&nbsp; &nbsp; &nbsp;3n = 26°</p><p>&nbsp; &nbsp; &nbsp;n = 26/3 = 8,67°</p><p>&nbsp; &nbsp; &nbsp;&lt;DOB = 180° - 10n</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 180° - 10(8,67)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 180° - 86,7</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 93,3°</p><p>&nbsp; &nbsp; &nbsp;&lt;BOE = 4n + 7</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 4(8,67) + 7</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 34,68 + 7</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 41,68°</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 41,7°</p><p>&nbsp; &nbsp; &nbsp; &lt;DOE = &lt;DOB + &lt;BOE</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 93,3° + 41,7°</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= <strong>135°</strong></p><p>&nbsp; &nbsp; &nbsp; Jawaban : D</p><p>&nbsp;</p><p>3. &lt;AOC = &lt;BOD &nbsp; &nbsp; (saling bertolakbelakang)</p><p>&nbsp; &nbsp; &nbsp;3m + 26° = 6m + 2°</p><p>&nbsp; &nbsp; &nbsp;6m - 3m = 26° - 2°</p><p>&nbsp; &nbsp; &nbsp;3m = 24°</p><p>&nbsp; &nbsp; &nbsp;m = 8°</p><p>&nbsp; &nbsp; &nbsp;&lt;BOD + &lt;BOF + &lt;FOC = 180°</p><p>&nbsp; &nbsp; &nbsp;(6m + 2°) + (2n + 14°) + (n + 47°) = 180°</p><p>&nbsp; &nbsp; &nbsp;(6(8°) + 2°) + (2n + 14°) + (n + 47°) = 180°</p><p>&nbsp; &nbsp; &nbsp;48° + 2° + 2n + 14° + n + 47° = 180°</p><p>&nbsp; &nbsp; &nbsp;3n + 111° = 180°</p><p>&nbsp; &nbsp; &nbsp;3n = 180° - 111°</p><p>&nbsp; &nbsp; &nbsp;3n = 69°</p><p>&nbsp; &nbsp; &nbsp;n = 23°</p><p>&nbsp;</p><p>&nbsp; &nbsp; &lt;EOF = &lt;BOE + &lt;BOF</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 90° + 2(23°) + 14°</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 90° &nbsp;+ 46° + 14°</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= <strong>150°</strong></p><p>&nbsp; &nbsp; Jawaban : C</p>

1. <AOB = <COD   (sudut saling bertolak belakang)

    3m + 83° = 12m + 2°

    12m - 3m = 83 - 2

    9m = 81°

    m = 9°

    <AOB = 3m + 83°

                = 3(9) + 83

                = 27° + 83°

                = 110°

     <AOD = 180° - <AOB

                 = 180° - 110°

                 = 70°

     Jawaban : B

 

2. <AOD = <COB

     <AOD = <COE + <BOE

     10n = 3n + 19° + 4n + 7°

     10n = 7n + 26°

     10n - 7n = 26°

     3n = 26°

     n = 26/3 = 8,67°

     <DOB = 180° - 10n

                  = 180° - 10(8,67)

                  = 180° - 86,7

                  = 93,3°

     <BOE = 4n + 7

                  = 4(8,67) + 7

                  = 34,68 + 7

                   = 41,68°

                   = 41,7°

      <DOE = <DOB + <BOE

                   = 93,3° + 41,7°

                   = 135°

      Jawaban : D

 

3. <AOC = <BOD     (saling bertolakbelakang)

     3m + 26° = 6m + 2°

     6m - 3m = 26° - 2°

     3m = 24°

     m = 8°

     <BOD + <BOF + <FOC = 180°

     (6m + 2°) + (2n + 14°) + (n + 47°) = 180°

     (6(8°) + 2°) + (2n + 14°) + (n + 47°) = 180°

     48° + 2° + 2n + 14° + n + 47° = 180°

     3n + 111° = 180°

     3n = 180° - 111°

     3n = 69°

     n = 23°

 

    <EOF = <BOE + <BOF

                 = 90° + 2(23°) + 14°

                 = 90°  + 46° + 14°

                 = 150°

    Jawaban : C


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