Let AB and CD be two parallel lines. A transversal EF meets AB at G and CD at H. The measure of ∠AGH is (35x+12)∘, while its co–interior partner ∠GHD measures (32x+6)∘. A different transversal JK meets AB at P such that the exterior angle at P corresponding to ∠AGH is (4y−3)∘. Use the information to complete the tasks below.
a. (i) Form the equation in x arising from the co–interior angles on transversal EF.},{
b. (ii) Form the equation in y using the corresponding angles on transversal JK.},{
c. (iii) Find the values of x and y.},{
d. (iv) Compute the numerical measures of ∠AGH, ∠GHD and the exterior angle at P.}