Matematika

Pertanyaan

Besar sudut CAD adalah....
A. 36
B. 42
C. 58
D. 84

mohon bantu jawab
Besar sudut CAD adalah.... A. 36 B. 42 C. 58 D. 84 mohon bantu jawab

1 Jawaban

  • ΔABD sama kaki : AD = DB sehingga
    ∠DAB = ∠ABD = x

    ∠ADB = 180° - 96°
    ∠ADB = 84°

    ∠ADB + ∠DAB + ∠ABD = 180°
    84° + x + x = 180°
    2x = 96°
    x = 48°

    ΔABC sama kaki : AB = AC sehingga
    ∠ACB = ∠ABC = 48° (∠ABD)

    ∠ABC + ∠ACB + ∠CAB = 180°
    48° + 48° + ∠CAB = 180°
    ∠CAB = 180° - 48° - 48°
    ∠CAB = 84°

    ∠CAB = ∠CAD + ∠DAB
    84° = ∠CAD + 48°
    ∠CAD = 84° - 48°
    ∠CAD = 36°