Question

Solve for x and y: (4 points) Y:____ X:____ (5y-4)degrees 3y(degrees) (2x+13)(degrees)​

Answer 1

Y: 23

X: 28

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

__

3y = 2x +13 . . . . acute angles are congruent

3(23) -13 = 2x . . . . substitute for y, subtract 13

56/2 = x = 28 . . . . divide by 2