AB is the diameter of a circle with centre O. C and D are two points on the circle on either side of AB, such that ∠CAB = 52° and ∠ABD = 47°. What is the difference (in degrees) between the measures ∠CAD and ∠CBD?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 10
∠CAB = 520 and ∠ABD = 470
The angle subtended by the diameter at any point on the circumference is equal to 900
According to the concept -
∠ACB = ∠ADB = 900
∠CBA = 1800 - (900 + 520) = 1800 - 1420 = 380
∠BAD = 1800 - (900 + 470) = 1800 - 1370 = 430
∠CAD = 520 + 430 = 950
∠CBD = 380 + 470 = 850
∠CAD - ∠CBD = 950 - 850 = 100