Question

Сумма накрест лежащих углов при пересечении двух параллельных прямых секущей равна 210 градусов. Найдите эти углы+рисунок

Answer 1

Ответ во вложении........

Answer 2

Finding the Sum of Opposite Angles when Two Parallel Lines are Intersected by a Transversal

When two parallel lines are intersected by a transversal, the sum of the opposite angles formed is equal to 180 degrees. However, in this case, it is stated that the sum of the opposite angles is 210 degrees. Let's find the values of these angles.

Let's assume that the two parallel lines are represented by line l1 and line l2, and the transversal is represented by line t. The angles formed by the intersection of these lines are labeled as A, B, C, and D.

According to the given information, the sum of the opposite angles A and C is equal to 210 degrees.

Angle A + Angle C = 210 degrees.

Since the sum of opposite angles formed by intersecting parallel lines is always 180 degrees, we can write the equation as:

Angle A + Angle C = 180 degrees.

To find the values of angles A and C, we can subtract 180 degrees from 210 degrees:

Angle A + Angle C = 210 degrees - 180 degrees = 30 degrees.

Therefore, the values of angles A and C are both 30 degrees.

Please refer to the diagram below for a visual representation:

     l1
-----------------
     t
-----------------
     l2

A   B
     -----
     |   |
     -----
     C   D

In this diagram, angles A and C are the opposite angles formed by the intersection of lines l1, l2, and t.

So, the values of angles A and C are both 30 degrees.

I hope this helps! Let me know if you have any further questions.