Mathematics
The given figure show a circle with centre O. Also, PQ = QR = RS and ∠PTS = 75°.
Calculate:
(i) ∠POS,
(ii) ∠QOR,
(iii) ∠PQR.
Related Questions
In the following figure, AD is the diameter of the circle with centre O. Chords AB, BC and CD are equal. If ∠DEF = 110°, calculate :
(i) ∠AEF, (ii) ∠FAB.
If two sides of a cyclic-quadrilateral are parallel; prove that :
(i) its other two sides are equal.
(ii) its diagonals are equal.
In the given figure, AB is a side of a regular six-sided polygon and AC is a side of a regular eight-sided polygon inscribed in the circle with centre O. Calculate the sizes of :
(i) ∠AOB,
(ii) ∠ACB,
(iii) ∠ABC.
In a regular pentagon ABCDE, inscribed in a circle; find the ratio between angle EDA and angle ADC.