In a circle, AB is a chord. If ∠ACB = 50°, find ∠ADB.
50°
In the given figure, points C and D lie on the same arc of the circle, on the same side of chord AB.
Angles subtended by the same chord at points lying in the same segment of a circle are equal, so \(\angle ADB = \angle ACB\).
Since \(\angle ACB = 50^\circ\), it follows that \(\angle ADB = 50^\circ\).
Similar Questions
In same segment, if ∠ACB = 40°, find ∠ADB.
ABCD is a cyclic quadrilateral. If ∠A = 70°, find ∠C.
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Important Questions from Circles, Chords and Tangents
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on their respective axes. What is the radius of the other wheel ?- The length of a tangent drawn to a circle of radius 4 cm from a point 5 cm away from the center of the circle is:
- If SA and SB are tangents to a circle from an outside point S, such that SA = 12 cm and angle ASB = 60°. What will the length of chord AB be?
- In a circle, two chords of lengths x and y subtend the angles of $60^{\circ}$ and $90^{\circ}$ at the center respectively. Which of the following is correct in this scenario?
