Besar sudut CAD adalah.... A. 36 B. 42 C. 58 D. 84 mohon bantu jawab
Matematika
nada320
Pertanyaan
Besar sudut CAD adalah....
A. 36
B. 42
C. 58
D. 84
mohon bantu jawab
A. 36
B. 42
C. 58
D. 84
mohon bantu jawab
1 Jawaban
-
1. Jawaban arsetpopeye
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°