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Verified answer
10x+6+c = 18010x+c = 174 ......(1)
3x-3+9x-5+c = 180
12x-8+c=180
12x+c=188 ....(2)
ELIMINASI
12x+c=188
10x+c=174.....-
2x = 14
x= 7
SUBSTITUSIKAN NILAI x KE PERS 1
10x+c=174
10(7)+c=174
70+c=174
c = 104
untuk sudut d
d= 180 - (9x-5)
d= 185-9(7)
d = 185-63
d = 122
jadi sudut c+d = 104+122 = 226
Bab : Sudut
Diketahui :
Besar ∠ ECA = 10x - 6
Besar ∠ CAB = 3x - 3
Besar ∠ CBA = 9x - 5
Ditanyakan :
Besar ∠ ACB + ∠ CBD = .... ?
Penyelesaian :
∠CAB + ∠CBA + ∠ACB = 180°
3x - 3 + 9x - 5 + ∠ACB = 180°
12x - 8 + ∠ACB = 180
12x + ∠ACB = 180 + 8
12x + ∠ACB = 188
∠ACB = 188 - 12x
∠ACE + ∠ACB = 180°
10x + 6 + 188 - 12x = 180
-2x + 194 = 180
2x = 194 - 180
2x = 14
x = 14/2
x = 7
∠ACB
= 188 - 12x
= 188 - 12 x 7
= 188 - 84
= 104°
∠BCD + 9x - 5 = 180
∠BCD + 9 x 7 - 5 = 180
∠BCD + 63 - 5 = 180
∠BCD + 58 = 180
∠BCD = 180 - 58
∠BCD = 122°
∠ACB + ∠BCD = 104° + 122° = 226°