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

ABCD is a trapezium with AD parallel to BC. Side BC is produced to point E and angle DCE = 95°. Angle B is equal to :
85°
105°
95°
175°

In the given figure, ABC is an equilateral triangle. Angle ADC is :
60°
100°
80°
120°
