Question

Найдите смежные углы если 1)один из них на 70градусов больше второго 2)один из них в 8 раз меньше второго пж помогите))

Answer 1

Один угол х, другой х+70
а сумма смежных 180
х+х+70=180
2х=180-70
2х=110
х=110/2
х=55 градусов  - острый угол 
55+70=125 градусов -тупой угол

2 задача
один х, другой 8х

всего 180 градусов
х+8х=180
9х=180
х=180/9
х=20 градусов один острый угол
20*8=160 градусов другой тупой угол

Answer 2

1) 180-70=110
    110/2=55
    55+70=125
  Отв: 1 угол = 55, 2 угол = 125

2) 180/8=10
    10*2=20
    180-20=160
  Отв: 1 угол = 20, 2 угол = 160

Answer 3

Finding Adjacent Angles

To find the measures of the adjacent angles given the conditions: 1) One angle is 70 degrees larger than the other. 2) One angle is 8 times smaller than the other.

Let's denote the measures of the angles as A and B, where A is the larger angle and B is the smaller angle.

Calculation

1) One angle is 70 degrees larger than the other: - A = B + 70

2) One angle is 8 times smaller than the other: - B = 8A

Now, we can solve these equations to find the measures of the angles.

Solution

Substitute the value of B from the second equation into the first equation: - A = 8A + 70 - 7A = 70 - A = 10

Now, substitute the value of A back into the second equation to find B: - B = 8 * 10 - B = 80

Conclusion

So, the measures of the adjacent angles are: - Angle A: 10 degrees - Angle B: 80 degrees