In circle O, AD and BE are diameters. What is MAE?

To find the angle MAE in circle O where AD and BE are diameters, we need to understand the properties of circles and diameters.

Since both AD and BE are diameters, we know that they intersect at the center of the circle, point O. In a circle, any angle formed by two diameters is a central angle. Specifically, angle MAE is created by the intersection of lines MA and AE drawn from the endpoints of the diameters.

According to the properties of inscribed angles, an angle inscribed in a semicircle is a right angle. Therefore, we can deduce that angle MAE is actually inscribed in the semicircle formed by the diameter BE. This means angle MAE measures 90 degrees.

In summary, since AD and BE are diameters of circle O, angle MAE is a right angle (90 degrees) due to the geometric properties of circles.

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