Answer :

Answer:

x = 16, y = 23

Step-by-step explanation:

Consider angles related to the parallel lines and the left transversal

4x + 4 and 7x - 44 are alternate exterior angles and congruent , thus

7x - 44 = 4x + 4 ( subtract 4x from both sides )

3x - 44 = 4 ( add 44 to both sides )

3x = 48 ( divide both sides by 3 )

x = 16

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Consider angles related to the parallel lines and the right transversal

39 and 8y - 43 are same- side exterior angles and supplementary, thus

39 + 8y - 43 = 180 , that is

8y - 4 = 180 ( add 4 to both sides )

8y = 184 ( divide both sides by 8 )

y = 23

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