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Q4

Let the point where line AB and line CD intersect be O

Since AB and CD are straight lines, angle AOC = angle BOD

Angle e = angle AOC = 30 degrees

Since AB is a straight line, angle AOB = 180 degrees

angle f = angle AOB - 50 - 90 - angle e

angle f = 180 - 50 - 90 - 30

angle f = 10 degrees

Let the point where line AB and line CD intersect be O

Since AB and CD are straight lines, angle AOC = angle BOD

Angle e = angle AOC = 30 degrees

Since AB is a straight line, angle AOB = 180 degrees

angle f = angle AOB - 50 - 90 - angle e

angle f = 180 - 50 - 90 - 30

angle f = 10 degrees

How to know that it is not angles and a point or adj angles??

Q5

angle YOB = angle YOX - angle BOX

angle YOB = 90 - 56

angle YOB = 34

angle COY = angle COB - angle YOB

angle COY = 90 - 34

angle COY = 56 degrees

Since line AB and line WX are straight lines, angle BOX = angle WOA = 56

angle AOX = 180 - 56

angle AOX = 124 degrees

(since line WX is a straight line, angle WOX = 180)

angle YOB = angle YOX - angle BOX

angle YOB = 90 - 56

angle YOB = 34

angle COY = angle COB - angle YOB

angle COY = 90 - 34

angle COY = 56 degrees

Since line AB and line WX are straight lines, angle BOX = angle WOA = 56

angle AOX = 180 - 56

angle AOX = 124 degrees

(since line WX is a straight line, angle WOX = 180)

Can write the reasons? Ty