2d +32°
3c
3b + 14
112
40°
2a -6°
llustrator: Arif Nursahid
Nilai a + b + c – d adalah….
a. 18°
b. 24°
c. 29°
d. 36°
12. Diketahui sudut-sudut berikut.
Jawaban:
27⁰ (tidak ada di pilihan abcd nya)
Penjelasan dengan langkah-langkah:
2a – 6 = 40⁰
2a⁰ = 40⁰ + 6⁰
2a⁰ = 46⁰
a⁰ = 46⁰ : 2
a⁰ = 23⁰
3b⁰ + 14⁰ + 112⁰ = 180⁰
3b⁰ = 180⁰ – 14⁰ – 112⁰
3b⁰ = 54⁰
b⁰ = 54⁰ : 3
b⁰ = 18⁰
40⁰ + 3b⁰ + 14⁰ + 3c⁰ = 180⁰
40⁰ + 3•18⁰ + 14⁰ + 3c⁰ = 180⁰
108⁰ + 3c⁰ = 180⁰
3c⁰ = 180⁰ – 108⁰
3c⁰ = 72⁰
c⁰ = 72⁰ : 3
c⁰ = 24⁰
3c⁰ + 2d⁰ + 32⁰ = 180⁰
3•24⁰ + 2d⁰ + 32⁰ = 180⁰
72⁰ + 32⁰ + 2d⁰ = 180⁰
2d⁰ = 180⁰ – 72⁰ – 32⁰
2d⁰ = 76⁰
d⁰ = 76⁰ : 2
d⁰ = 38⁰
a + b + c – d
= 23⁰ + 18⁰ + 24⁰ – 38⁰
= 27⁰