Question

Help please with Maths assignment.

Answer 1

Answer:

a) 40 degrees

b) 40 degrees

c) 60 degrees

d) 80 degrees

e) 80 degrees

Answer 2

Answer:

Step-by-step explanation:

given pq//rs

so , angle 40° = B [alternate interior angles]

angle B = angle A = 40° [vertically opposite angles]

angle A + angle D + 60° =180° [ triangle sum property]

                        40° +angle D +60° = 180°

                             angle D = 180° -100    

                                   angle D = 80°

angle A +angle POS = 180°[linear pair axiom]

       40° +  angle POS = 180°

                    angle POS = 180° -40° = 140°

now 60° + angle QSR = 180°[linear pair axiom]

                  angle QSR = 180° -60° = 120°

then angle QSR + angle C = 180° [adjacent angle sum 180° in parallelogram]

         120° + angle C = 180°

                    angle C =180° -120° = 60°

hope it helps you very much

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