Respuesta :

Answer:

angles A & C are congruent and measure 107 degrees

angles B & D are congruent and measure 73 degrees

Step-by-step explanation:

in a parallelogram, opposite angles are equal and adjacent angles are supplementary (add to 180 degrees)

you can do the following to solve for 'x':  5x + 17 + 4x + 1 = 180

combine like terms:  9x + 18 = 180

subtract 18:  9x = 172

divide by 9:  x = 18

substitute 18 for 'x' in the expression 5x + 17 to get 107

substitute 18 for 'x' in the expression 4x + 1 to get 73

check to make sure angles A and B add to 180