Mathematics
AC is a tangent to the given circle which touches the circle at point B. If ∠EBC = 45°; angle EDB is equal to :
45°
90°
125°
135°
Circles
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Answer
From figure,
⇒ ∠ABE + ∠EBC = 180° [Linear pair]
⇒ ∠ABE + 45° = 180°
⇒ ∠ABE = 180° - 45° = 135°.
We know that,
The angle between a tangent and a chord through the point of contact is equal to an angle in the alternate segment.
⇒ ∠EDB = ∠ABE = 135°.
Hence, Option 4 is the correct option.
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