Question

Два угла образованых при пересечении двух прямых относятся как 4:5 найти все четыре угла

Answer 1

Дано:
AB принадлежит(значок выглядит как перевёрнутая улыбка) CD
угол AOC: угол AOD=4:5
Найти:все углы
Решение:
По свойству смежных углов
угол AOC= 180°:(4+5)*4= 80°
угол AOD=180°–80°=100°
По свойству вертикальных углов
угол AOC= угол DOB=80°
угол AOD= угол COB= 100°
Ответ: 80°; 100°;80°;100°

Answer 2

Finding the Angles

To find all four angles formed by the intersection of two lines when the ratio of two of the angles is 4:5, we can use the fact that the sum of the angles formed by the intersection of two lines is 360 degrees.

Step 1: Let's assume the two angles are 4x and 5x, where x is a constant.

Step 2: According to the given ratio, the two angles are in the ratio 4:5. This means the two angles can be represented as 4x and 5x.

Step 3: The sum of the angles formed by the intersection of two lines is 360 degrees. Therefore, we can set up the equation 4x + 5x = 360 and solve for x.

Step 4: Once we find the value of x, we can then find the measure of each angle by substituting the value of x back into 4x and 5x.

Calculation

Using the given ratio, we can set up the equation: 4x + 5x = 360

Combining like terms: 9x = 360

Solving for x: x = 40

Substituting the value of x back into 4x and 5x: 4x = 4 * 40 = 160 5x = 5 * 40 = 200

So, the four angles formed by the intersection of the two lines are 160°, 200°, 160°, and 200°.

This calculation is based on the given ratio and the property of angles formed by the intersection of two lines.

(#1)