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

Solution:

∠AOB = ∠EOD = 3x (As they are vertically opposite angles)

∠AOB + ∠BOC = 90, i.e.

3x + 0.5x + 34 = 90

3.5x + 34 = 90 

By subtracting 34 from both sides

3.5x = 56 

Dividing both sides by 3.5

x = 16

∠AOE + ∠EOD = 180 ( As it is a straight angle )

∠AOE + 3x = 180

Substituting the value of x

∠AOE + (3×16) = 180

∠AOE + 48 = 180 

Subtracting 48 from both sides

∠AOE = 132°

Therefore, m AE is 132°.

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

Summary:

In circle O, AD and BE are diameters. m AE is 132°.