Shaalaa.com | Circles (Arc Properties Part 1)
ABCD is a quadrilateral inscribed in a circle, having ∠ = 60°; O is the center of the circle. Show that:
∠OBD + ∠ODB
AB is the diameter of the circle with centre O. OD is parallel to BC and ∠AOD = 60°. Calculate the numerical values of :
(i) ∠ABD, (ii) ∠DBC, (iii) ∠ADC.
In the given figure, AOB is a diameter and DC is parallel to AB. If ∠CAB = x°; find (in terms of x) the values of ;
(i) ∠COB, (ii) ∠DOC, (iii) ∠DAC (iv) ∠ADC.
The figure shows a circle with centre O. AB is the side of regular pentagon and AC is the side of regular hexagon.
Find the angles of triangle ABC.
In the figure, O is the centre of the circle, ∠AOE = 150°, ∠DAO = 51°. Calculate the sizes of the angles CEB and OCE.
In the figure, O is the centre of the circle and the length of arc AB is twice the length of arc BC. If angle AOB = 108°, find:
(i) ∠CAB (ii) ∠ADB