In circle O, AD and BE are diameters. What is MAE?
2 answers:
Answer:
132°
Step-by-step explanation:
∠AOB = ∠EOD = 3x ( vertical angles )
∠AOB + ∠BOC = 90, that is
3x + 0.5x + 34 = 90
3.5x + 34 = 90 ( subtract 34 from both sides )
3.5x = 56 ( divide both sides by 3.5 )
x = 16
∠AOE + ∠EOD = 180 ( straight angle )
∠AOE + 3x = 180
∠AOE + (3 × 16) = 180
∠AOE + 48 = 180 ( subtract 48 from both sides )
∠AOE = 132°
Answer:
The answer is 132°
Step-by-step explanation:
It is given that
AD and BE are diameters
From the figure we get
<AOB = <EOD = 3x (Vertically opposite angles are equal)
and <AOC =90
3x + 0.5x + 34 = 90
x = 16
<EOD = 3x= 48
To Find <EOA
<EOA + <AOB =180 (Linear pair)
<EOA = 180 - 48 =132
Therefore measure of AE = 132
second option is the correct answer
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