Mathematics
In the given figure, if O is the centre of the circle, then the value of x is :
15°
18°
20°
24°
Circles
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Answer
From figure,
∠DAB = 90° [Angle in the semicircle is a right angle]
In the figure, both ∠ADB and ∠ACB are subtended by the same arc AB. Therefore:
∠ADB = ∠ACB = 2x
In triangle ADB,
∠DAB + ∠ADB + ∠ABD = 180°
90° + 2x + 3x = 180°
5x = 90°
x = 18°.
Hence, option 2 is the correct option.
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