Mathematics
In the given figure, M is the centre of the circle. Chords AB and CD are perpendicular to each other. If ∠MAD = x and ∠BAC = y :
(i) express ∠AMD in terms of x.
(ii) express ∠ABD in terms of y.
(iii) prove that : x = y.
Related Questions
In the given figure, PQ is the diameter of the circle whose center is O. Given, ∠ROS = 42°, calculate ∠RTS.
The given figure shows a circle with center O and ∠ABP = 42°. Calculate the measure of :
(i) ∠PQB
(ii) ∠QPB + ∠PBQ
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.
In the given figure, AC is the diameter of circle, centre O. Chord BD is perpendicular to AC. Write down the angles p, q and r in terms of x.
