Q4 of 29 Page 63

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?


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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