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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
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°.
In circle O, AD and BE are diameters. What is mAE?
Summary:
In circle O, AD and BE are diameters. m AE is 132°.
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