Question

Сумма двух углов, образовавшихся при пересечении двух прямых равна 142 °. Найдите все образовавшиеся углы. Помогите срочно зарание спасибо

Answer 1

Ответ:71 71 109 109

Объяснение:

При пересечение 2-х прямых образуется 2 пары вертикальных и 2 пары смежных углов. Т.к сумма не равна 180, то это вертикальные углы и они равны по 71, а следовательно смежные с ними углы тоже вертикальные и равны по 109

Answer 2

Problem Analysis

We are given that the sum of two angles formed by the intersection of two straight lines is 142°. We need to find all the angles formed.

Solution

Let's assume the two intersecting lines are line A and line B. When two lines intersect, they form four angles. Let's label these angles as angle 1, angle 2, angle 3, and angle 4.

According to the problem, the sum of angle 1 and angle 2 is 142°. We can represent this as an equation:

angle 1 + angle 2 = 142° Similarly, the sum of angle 3 and angle 4 is also 142°:

angle 3 + angle 4 = 142° To find all the angles, we need to solve these two equations simultaneously.

Solving the Equations

To solve the equations, we can use substitution or elimination method. Let's use the substitution method.

From equation 1, we can express angle 1 in terms of angle 2:

angle 1 = 142° - angle 2

Substituting this value of angle 1 in equation 2, we get:

(142° - angle 2) + angle 4 = 142°

Simplifying the equation, we have:

angle 4 = angle 2

Now, we have two equations:

angle 1 = 142° - angle 2

angle 4 = angle 2

We can substitute the value of angle 2 in these equations to find the values of angle 1 and angle 4.

Substituting angle 2 in equation 1, we get:

angle 1 = 142° - angle 2

Substituting angle 2 in equation 2, we get: