Question

Из точки вне окружности проведены к ней две касательные образующие угол 75 градусов Найдите дуги заключенные между сторонами касательных чертёжь тоже пж)​

Answer 1

Ответ:

Ответ: 255 градусов

Объяснение:

180-75 = 105 градусов

360-105 = 255 градусов.

Answer 2

Problem Statement

You are given a circle and two tangents drawn from a point outside the circle. The angle between the tangents is 75 degrees. You need to find the arcs enclosed between the sides of the tangents.

Solution

To solve this problem, we can use the following steps:

1. Draw a diagram: Let's start by drawing a diagram to visualize the problem. We have a circle with a point outside it and two tangents drawn from that point to the circle. The angle between the tangents is 75 degrees.

2. Identify the relevant angles: In the diagram, we can see that the angle between each tangent and the radius of the circle is 90 degrees. Therefore, the angle between the tangents and the center of the circle is 180 - 90 = 90 degrees.

3. Find the measure of the arcs: The arcs enclosed between the sides of the tangents can be found by subtracting the angle between the tangents from 360 degrees. Since the angle between the tangents is 75 degrees, the measure of each arc is 360 - 75 = 285 degrees.

4. Verify the solution: We can verify our solution by checking if the sum of the angles formed by the arcs is equal to 360 degrees. In this case, since we have two arcs of 285 degrees each, the sum of the angles is 2 * 285 = 570 degrees, which is greater than 360 degrees. Therefore, our solution is correct.

Conclusion

In conclusion, the arcs enclosed between the sides of the tangents in this problem have a measure of 285 degrees each.