A circle has 120 and 120 degrees in it;

It is not difficult to calculate the large angle of135 and the small angle of 35;

Remember the remaining 80, it is not difficult to combine the corners of the figure.

This formula is used to help us calculate the degree of the inner angle of a circle. A circle has 120 degrees, so this circle can be divided into 120 small angles, and the degree of each small angle is 360/ 120 = 3. If a big angle contains several small angles, then the degree of this big angle is the sum of the degrees of several small angles. For example, a large angle contains four small angles, so the degree of this large angle is 4× 3 = 12.

In addition, the calculation methods of large angle and small angle are also mentioned in the formula. Degree of large angle = 120× (n-2)/n, where n is an integer greater than or equal to 3 and less than 100. If n=6, then the degree of large angle =120× (6-2)/6 =120× 4/6 = 80.

Degree of small angle = 360/n-360/(n+2). For example, if n=6, then the degree of small angle = 360/6-360/(6+2) = 30-22.5 = 7.5.

The importance of learning to calculate angles;

1, basic knowledge of mathematics: number angle is one of the basic concepts in basic mathematics and the basis for learning geometry, algebra and other disciplines. Mastering the concept and method of counting angles is very important for further learning other knowledge of mathematics.

2. Cultivation of logical thinking: logical thinking and spatial imagination are needed in the learning process from several angles. By solving various problems, students' logical thinking ability and spatial imagination are exercised, so as to improve their thinking ability and problem-solving ability.

3. Applied to practical problems: Several angles are also widely used in real life, such as angle measurement, calculation and design in the fields of architecture, machinery and engineering. Mastering the concepts and methods from several angles can help people solve these problems better.

4. Enhance your interest in mathematics: The learning process of number angles is interesting and challenging. By solving various problems, students' interest and self-confidence in learning mathematics can be enhanced, which is helpful to cultivate students' mathematical literacy.

5. Cultivate self-study ability: Learning several angles requires students to explore, summarize and induce independently, which can cultivate students' self-study ability and self-study ability, and has positive significance for students' future study and career development.