'Complement' = difference between an angle an 90 degrees.
'Supplement' = difference between an angle and 180 degrees.
Complement of A = 90 - A
Supplement of A = 180 - A
The problem says that the complement is 1/6 of the supplement, right ?
So 90 - A = (1/6) x (180 - A)
Multiply each side of this equation by 6 :
540 - 6 A = 180 - A
Subtract 180 from each side:
360 - 6 A = - A
Add 6A to each side :
360 = 5 A
Divide each side by 5 :
A = 72°
90 − A = 6 180 − A 540 − 6 A = 180 − A 5 A = 360 A = 72
We found that the angle A is 72 degrees by setting up equations for the complement and supplement of the angle. We then solved the equation that related the two, leading us to the solution. The value of A is therefore 72 degrees.
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Jawaban:✅ Jawaban akhir: 1Penjelasan dengan langkah-langkah:Kita jumlahkan dulu semua angka:0 + 8 + 9 + 9 + 9 + 9 + 9 + 9 + 0 + 3 + 8 = 73Karena diminta hingga menjadi 1 digit, kita jumlahkan lagi angka-angka dari 73:7 + 3 = 10Masih 2 digit, jadi kita jumlahkan lagi:1 + 0 = {1}---✅ Jawaban akhir: 1