Answer:
Y: 23
X: 28
Step-by-step explanation:
Where the transversal crosses parallel lines, the acute angles are congruent, and supplementary to the obtuse angles.
(5y -4) +(3y) = 180 . . . . obtuse and acute angles are supplementary
8y = 184 . . . . . . . . . . simplify
y = 23 . . . . . . . . . .divide by 8
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3y = 2x +13 . . . . acute angles are congruent
3(23) -13 = 2x . . . . substitute for y, subtract 13
56/2 = x = 28 . . . . divide by 2
