Find angles between parallel lines
Angles opposed by line diagonal
m and n are parallel
Then 180° = (9x-7)° + ( 4x -8)° =
Isolate x
9x + 4x = 180 +7 + 8
13 x = 195
x = 195/13 = 15
Now to find y
Apply principle
Two lines are parallel ,if alternate internal angles are equal ( congruents)
Then this means m,n are parallel and
9x - 7 = 2y + 2
replace x= 15
Isolate y
2y = 9x - 7 - 2 = 9•(15) - 7 - 2 = 9•(15) -9 = 9•(14) = 126
y = 126/2 = 63