1. AB is the diameter of the circle. Quantity A = Measure of angle 2 Quantity B = 45o   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint Hint       2. x > 1 and y > 1 Quantity A =(x + y)/xy Quantity B = 1/x + 1/y   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint       3. In triangle ABC, measure of angle 1 = 100o. Quantity A = Length of side AB Quantity B = Length of side BC   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint       4. AB is the diameter of the circle, and the line touching the circle at point D is a tangent to the circle. Quantity A = Measure of angle 1 + Measure of angle 2 Quantity B = Measure of angle 3   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint       5.   The triangles ABC and CED are right-angled at A and D respectively. Quantity A =AC/CD Quantity B = BC/CE   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint       6. Quantity A = Measure of angle 2 Quantity B = Measure of angle 1   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint       7. Let ABC be any triangle. Quantity A = Measure of angle 1 + Measure of angle 2 Quantity B = 90o   Quantity A is greater   Quantity B is greater   The two quantities are equal   The relationship cannot be determined from the information given   Hint