IN THIS FIGURE, If OE is the bisector of <AOD, then the value of x and y are respectively
a) 45°,45°
b) 66°,48°
c) 48°,66°
d) 30°,60°
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Answer:
b) 66°,48°
Step-by-step explanation:
∠COB=∠AOD (vertically opposite angles are equal)
So, bisector of ∠AOD=bisector of ∠COB.
∠EOD=x
So, x=132°/2=66°
∠COB+∠AOD=132°+132°=264°
So, ∠COA+∠BOD=360°-264°=96°.
As vertically opposite angles are equal,
∠COA=y
So, y=96°/2=48°.
Therefore, x=66° & y=48°.
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