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In the given figure, O is the centre of the circle ABE is a straight line,. If ∠DBE = 95o then ∠AOD is equal to
  • a)
    190o
  • b)
    170o
  • c)
    180o
  • d)
    175o
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In the given figure, O is the centre of the circle ABE is a straight l...
AE is a straight line so,
angle ABD + angle EBD = 180°
angle ABD + 95° = 180°
angle ABD = 180° -  95°
angle ABD = 85°
so, it is interior angle of circle
So, angle AOD is double of angle suspended on the circle
angle AOD = 2ABD
angle AOD = 2(85°)
angle AOD = 170°
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Most Upvoted Answer
In the given figure, O is the centre of the circle ABE is a straight l...
AE is a straight line so,
angle ABD + angle EBD = 180
angle ABD + 95 = 180
angle ABD = 180-- 95
angle ABD =85
so, it is interior angle of circle
So, angle AOD is double of angle suspended on the circle
angle AOD = 2ABD
angle AOD = 2(85)
angle AOD = 170
Free Test
Community Answer
In the given figure, O is the centre of the circle ABE is a straight l...
/_DBE + /_ ABD= 180• (linear pair)
.•./_ABD = 85•
As we know: Angle subtended by Arc/Chord on CENTRE of Circle is TWICE the angle subtended by it ANYWHERE ON the (Circumference of the) Circle.
.•. /_AOD = 2(/_ABD) = 170•


[NOTE: (/_) Represents the symbol for Angle and (•) Represents the symbol of degree and (.•.) Represents the symbol for Therefore].
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