Question

No. 5

tentukan nila a+b

Answer 1

Verified answer

➡Sudut Garis Lurus = 180°

Maka :
(2a + 5) + (3b - 24) = 180
2a + 3b = 180 + 24 - 5
2a + 3b = 199........................... (1)


b + 8 = 2a + 5
b = 2a + 5 - 8
b = 2a - 3................ (2)


Subtitusi nilai b pada pers. 2 ke 1

Maka :
2a + 3b = 199
2a + 3(2a - 3) = 199
2a + 6a - 9 = 199
8a = 199 + 9
8a = 208
a = 208/8
a = 26°

Nilai a = 26° ✔

Sehingga nilai b adalah :
b = 2a - 3
b = 2(26) - 3
b = 52 - 3
b = 49°

Nilai b = 49 ✔


Maka, nilai dari a + b adalah '
= 26° + 49°
= 75° ✔

Answer 2

Verified answer

2a + 5 = b + 8 -----> bertolak belakang

(b + 8) + (3b - 24) = 180
4b - 16 = 180
4b = 180 + 16
4b = 196
b = 49

2a + 5 = b + 8
2a = 49 + 8 - 5
2a = 52
a = 52/2 = 26

a + b = 26 + 49 = 75