Question

В окружности с центром в точке О проведены хорда АВ и диаметр ВС. Найдите углы треугольника АОС , если угол АОВ=146 градусов.помогите мне пожалуйста

Answer 1

180-146= 34 - угол АОС

Answer 2

Problem Analysis

We are given a circle with center O. Chord AB and diameter BC are drawn in the circle. We need to find the angles of triangle AOC, given that angle AOB is 146 degrees.

Solution

To find the angles of triangle AOC, we need to use the properties of angles in a circle.

1. Angle AOB is given as 146 degrees. 2. Angle AOC is half of angle AOB because angle AOC is an inscribed angle that intercepts the same arc as angle AOB. Therefore, angle AOC = 146 degrees / 2 = 73 degrees.

So, the angle AOC is 73 degrees.

Let's summarize the solution: - Angle AOC = 73 degrees.

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