Answer:
116
Explanation:
a line is 180 degrees so subtract 64 and you get 116, that is your angle
Given: these two lines are parrallel cut by a transversal, 4 is 64 degrees
because 4 is given we know 6 is also 64 becasue they are alternative interior angles
all straight lines measure to 180 degrees so 3 and 5 become 116 because 180-64=116 (we also know these lines are parallel becasue 4 and 5 are supplementary, they add up to 180 as well.)
becasue 5 is 116 8 needs to be 64 and becasue 8 is 64 to equal 180 7 needs to be 116 (again, they need to add up to 180 becasue they are a straight line)