Question

Точка о центр окружности угол ACB =25 градусов найдите величину угла AOB (в градусах )

Answer 1

Вписанный угол равен половине душе, на которую он опирается.
Центральный угол равен дуге, на кот. он опирается.
25°*2=50° угол АОБ

Answer 2

Calculating Angle AOB

To find the angle AOB, given that angle ACB is 25 degrees, we can use the fact that the angles in a straight line add up to 180 degrees. We can also use the fact that the angles around a point add up to 360 degrees.

Step 1: First, we find the measure of angle ABC using the fact that the angles in a triangle add up to 180 degrees. The measure of angle ABC = 180 - 25 = 155 degrees.

Step 2: Next, we find the measure of angle AOB using the fact that the angles around a point add up to 360 degrees. The measure of angle AOB = 360 - (155 + 25) = 180 degrees.

Therefore, the measure of angle AOB is 180 degrees.