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12 Sep 2018, 00:36
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
64% (01:27) correct
36%
(01:37)
wrong
based on 44
sessions
History
Date
Time
Result
Not Attempted Yet
Points A, B, and D are on the circumference of a circle with center O. If triangle ABO is an equilateral triangle and point D is not on minor arc AB, what is the measure of angle ADB?
A. 90
B. 60
C. 45
D. 30
E. 15
A. 90
B. 60
C. 45
D. 30
E. 15
12 Sep 2018, 02:50
Kudos
Bookmarks
Bunuel
Angle AOB=60
Angle ADB=Angle subtended by minor arc AB at the circumference=\(\frac{1}{2}\)*Angle subtended by minor arc AB at centre (angle AOB)=60/2=30
Ans. (D)
12 Sep 2018, 05:56
Kudos
Bookmarks
Bunuel
Since the triangle ABO is equilateral therefore the angle drawn at center = 60º
Using the property attached in figure "Angle drawn at centre is always twice the angle drawn at circumference if the angles are drawn by the same arc"
Hence, required angle ADB = (1/2)*Angle AOB = (1/2)*60 = 30º
Answer: option D
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