Answer:
x = 11 , y = 4
Step-by-step explanation:
(7x - 8)° and (13x - 32)° are a linear pair and sum to 180° , that is
7x - 8 + 13x - 32 = 180 ( simplify left side )
20x - 40 = 180 ( add 40 to both sides )
20x = 220 ( divide both sides by 20 )
x = 11
Also
(10y + 22)° and (7y)° form a right angle , 90° , then
10y + 22 + 7y = 90
17y + 22 = 90 ( subtract 22 from both sides )
17y = 68 ( divide both sides by 17 )
y = 4
