Current location - Training Enrollment Network - Mathematics courses - Properties of antipodal angle
Properties of antipodal angle
The essence of antipodal angle is that the two antipodal angles are equal.

In geometry, antipodal angle is the positional relationship between two angles. The intersection of two straight lines will produce an intersection point, and taking this intersection point as the vertex will produce four angles. Two nonadjacent angles are called antipodal angles. In other words, one of the angles is the inverse angle of the other. The vertex angle satisfies the following theorem: two straight lines intersect and the vertex angle is equal.

The antipodal angle ranges from 0 ~ 180 degrees (excluding 0 and 180 degrees). The antipodal angle reflects the size relationship between two angles, and its property is that two antipodal angles are equal. Corresponding to the opposite vertex angle is the adjacent complementary angle, that is, two corners have a common edge, and their other edge is the opposite extension line.

Extended data

Adjacent complementary angle

Adjacent complementary angles include two requirements: positional relationship and quantitative relationship between two angles. If two angles are adjacent complementary angles, their sum is equal to 180, and the bisectors of two tangent angles are perpendicular to each other. Identifying whether two angles are adjacent complementary angles can start from the following aspects:

1, which has a common vertex;

2. Have a male relationship;

3. The other side of the two corners is the opposite extension line.

4. Adjacent complementary angles appear in pairs, which are mutually adjacent complementary angles.

5. Two adjacent corners make a right angle.

6. Two adjacent complementary angles are complementary, that is, they add up to 180 degrees.