Question

С центром в точке О проведены диаметры АД и ВС ,угол ОАВ равен 65.Найдите велечину угла ОСD

Answer 1

УголOAB - это угол DAB, вписанный, он измеряется половиной дуги, на которую опирается, т.е. дугой BD. На эту же дугу опирается угол BCD, он же угол OCD. Значит угол OCD тоже равен 65 градусов.

Answer 2

Given Information:

We are given that there is a circle with center O, and diameters AD and BC are drawn. The angle OAB is equal to 65 degrees. We need to find the measure of angle OCD.

Solution:

To find the measure of angle OCD, we can use the fact that angles formed by intersecting chords in a circle are equal if they are subtended by the same arc.

Since AD and BC are diameters, they intersect at the center of the circle, O. Therefore, angle OAB and angle OCD are subtended by the same arc AB.

According to the given information, angle OAB is equal to 65 degrees. Therefore, angle OCD is also equal to 65 degrees.

Conclusion:

The measure of angle OCD is 65 degrees.