Question

Unghiurile AOB, BOC si AOC sunt unghiuri in jurul unui punct, astfel incat m(AOB) =x + 25 grade, m(BOC)= 2x + 80 grade, m(AOC)= 3x + 45 grade

Answer 1

m(AOB) + m(BOC) + m(AOC) = 360 grade
x + 25 grade + 2x + 80 grade + 3x + 45 grade = 360 grade
6x + 150 grade = 360 grade
6x = 360 grade - 150 grade
6x = 210 grade
x = 210 grade : 6
x = 35 grade
m(AOB) = 35 grade + 25 grade = 60 grade
m(BOC) = 2 x 35 grade + 80 grade = 70 grade + 80 grade = 150 grade
m(AOC) = 3 x 35 grade + 45 grade = 105 grade + 45 grade = 150 grade