Matematika

Pertanyaan

Sudut BPC 50 derajat,sudut BRC 60 derajat,dan sudut BCR 70 derajat.hitunglah sudut sudut dalam segitiga ABC

1 Jawaban

  • Diketahui
    <BPC = 50°
    <BRC = 60°
    <BCR = 70°

    Ditanya
    <ABC =...?

    Jawab
    <CBR =180° - (<BRC + <BCR) = 180°-(60°+70°)=180°-130° = 50°
    <BCR = <PRQ = 60°
    <BRP = 180°- <PQR = 180°-60° = 120°
    <PBR = 180° - (<BRP+<BPR) = 180° - (120°+50°) = 180° - 170° = 10°
    <ABC = <PBR + <CBR = 10° + 50° = 60°
    <APC = 180° - <BPC = 180° - 50 ° = 130°
    <QCR = <PBR = 10°
    <CQR = <BPR = 50° 
    <AQB = <APC = 130°
    <BCQ = <BCA = <BCR + <QCR = 70° + 10° = 80°
    <BAC = 180° - (<BCA+<CBA) = 180° - (80°+60°) = 180° - 140° = 40°

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