Sudut BPC 50 derajat,sudut BRC 60 derajat,dan sudut BCR 70 derajat.hitunglah sudut sudut dalam segitiga ABC
Matematika
andribimaandri8397
Pertanyaan
Sudut BPC 50 derajat,sudut BRC 60 derajat,dan sudut BCR 70 derajat.hitunglah sudut sudut dalam segitiga ABC
1 Jawaban
-
1. Jawaban ibrahimpataudi89
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°