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Answer :

Answer:

x = 104 degrees

y = 76 degrees

z = 104 degrees

quadrilateral have to add up all of their interior angles to 360 degrees.

x and c are  opposite interior angles.  after finding that you have to add those 2 together (208) and subtract that from 360. You should get 152. However andgle B (angle y) and angle D are also opposite interiors so you divide 152 by 2 and get 76 degrees.

Also a straight line is 180 degrees so you subtract the degrees of D by 100 to get angle z.

Answer:

m∡x = 104°

m∡y = 76°

m∡z = 104°

Step-by-step explanation:

m∡A ≅ m∡C

m∡B ≅ m∡D

to find m∡B:  2(104) + 2y = 360

                       208 + 2y = 360

                       2y = 152

                        y = 76

m∡z:  180° - 76° = 104°