Plz i need it now 1. roger federer has a dream about a new kind of tennis racket. he wants the parallel catgut strings to intersect at an angle of 135 degrees. roger calculate what the rest of the angles will be on his new tennis racket. 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. b) what is the measurement of angle b? explain or defend your answer. c) if roger has created his tennis racket according to plan, what should be the measurement of angle c? explain or defend your answer.

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
  
 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
  
 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
 
 the measurement of angle C should be:
 C = A = 45 degrees

Understanding what? lol

Answer to your question: a. the fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. the roots are ​ x=1±i7√2 .number of roots=degree of polynomialhere, degree of polynomial is 2 so number of roots will be 2.hope it *_*