a) On string number one, we know the angle created with string number three is 135 degrees. What is the measurement of angle A? Explain or defend your answer. The measure of angle A in this case will be given by the following mathematical relationship: 135 + A = 180 So we have to clear A: A = 180-135 A = 45 Answer: the measurement of angle A is: A = 45 degrees b) What is the measurement of angle B? Explain or defend your answer.
The angle B in this case, we observe that it is an angle opposite by the vertical at the angle of 135 degrees. We then have that by opposite angles with respect to line 3, then: B = 135 degrees Answer: the measurement of angle B is: B = 135 degrees
c) If Roger has created his tennis racket according to plan, what should be the measurement of angle C? Explain or defend your answer.
As lines 1 and 2 are parallel lines, then we have that in this case the angles formed by both lines with respect to line 3 are the same. Therefore we have: C = A = 45 degrees Answer: the measurement of angle C should be: C = A = 45 degrees
