Question

10. Когда углы равны между собой?​

Answer 1

Ответ:

углы равны между собой, если они имеют равную градусную меру

Answer 2

When are angles equal to each other?

Angles are equal to each other under certain conditions. Here are a few scenarios where angles can be equal:

1. Vertical Angles: When two lines intersect, the angles opposite each other are called vertical angles. Vertical angles are always equal to each other.

2. Congruent Triangles: In a triangle, if two angles of one triangle are equal to two angles of another triangle, then the third angle of both triangles will also be equal. This is known as the Angle-Angle (AA) criterion for triangle congruence.

3. Parallel Lines: When a transversal (a line that intersects two or more parallel lines) cuts across the parallel lines, certain pairs of angles are equal. These pairs include corresponding angles, alternate interior angles, and alternate exterior angles.

4. Isosceles Triangles: In an isosceles triangle, which has two equal sides, the angles opposite the equal sides are also equal. This is known as the Base Angles Theorem.

5. Right Angles: Right angles, which measure 90 degrees, are always equal to each other.

These are just a few examples of when angles can be equal to each other. There are other geometric properties and theorems that determine when angles are equal in different contexts.

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