Question

Накрест лежащие углы, образованные при пересечении двух параллельных прямая третья , вместе составляют 80 градусов .Найдите все образовавшиеся при этом углы

Answer 1

При пересечении двух прямых третьей всегда образуется 8 углов.
При пересечении двух параллельных прямых третьей накрест лежащие углы равны. Значит: 80° ÷2 = 40° - накрест лежащие острые углы.
Смежные с ними углы равны 180° - 40° = 140°
 Ответ6 40°,140°

Answer 2

Finding Angles Formed by Intersecting Parallel Lines

When two parallel lines are intersected by a transversal, the angles formed can be classified into several types. In this case, the given information is that the alternate angles formed by the intersection of two parallel lines and a transversal add up to 80 degrees. Let's find all the angles formed in this scenario.

1. Alternate Angles: - Alternate angles are formed on opposite sides of the transversal and between the two lines. They are equal when the lines are parallel. - Let's denote the alternate angles as A, B, C, and D. Given that A + B = 80 degrees, and C and D are also alternate angles, we can conclude that C + D = 80 degrees as well.

2. Corresponding Angles: - Corresponding angles are in the same position at each intersection. When the lines are parallel, corresponding angles are equal. - Let's denote the corresponding angles as E, F, G, and H. Since E and F are corresponding angles, and G and H are also corresponding angles, they are all equal to each other.

3. Other Angle Relationships: - There are also other angle relationships such as interior angles, exterior angles, and consecutive interior angles, but the given information specifically mentions the sum of alternate angles.

Therefore, the angles formed by the intersection of two parallel lines and a transversal, given that the alternate angles add up to 80 degrees, are as follows: - A + B = 80 degrees - C + D = 80 degrees - E = F = G = H

These relationships hold true when the lines are parallel and a transversal intersects them.