Q. 45.0( 1 Vote )
In the given figure, AB is a diameter of the circle and points C and D are on the circumference such that ∠CAD = 30°and ∠CBA = 70° what is the measure of ACD?
A. 40°
B. 50°
C. 30°
D. 90°
Answer :
According to theorem the angle subtended by a diameter on the circumference of a circle is 90°
ACB = 90°
Angle subtended by chord AC on major segment = 
ABC = 70°
Angle subtended on minor segment = 180–70 = 110° = 
ADC
As sum of angles of triangle ADC = 180°
ACD = 180–30–110 = 40°
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