Answer:
(x, y) = (17, 10)
Step-by-step explanation:
You want the values of x and y given three angles written in terms of x and y at a transversal crossing parallel lines.
Corresponding angles
Angles at lower right of the points of intersection are corresponding angles, and are congruent:
(9x -16)° = (8x +1)°
x = 17 . . . . . . . . . . . . . divide by °, add 16-8x
Linear pair
The marked angles at the bottom form a linear pair, so are supplementary.
(4y +3)° = 180° -(9x -16)°
4y +3 = 180 -9(17) +16 = 43 . . . . . . use 17 for x and simplify
4y = 40 . . . . . . subtract 3
y = 10 . . . . . . divide by 4
