Solution (5) :
Let the missing angle be ∠y . Then :-
∠y =∠115°
Their measure will be equal as they are alternate interior angles whose angle measure will be equal when on two parallel lines with a transversal .
Therefore , the missing angle = 115° .
Solution (6) :
Let the missing angle be ∠x . Then :-
∠x = ∠66°
Their measure will be equal as they alternate interior angles .
Therefore , the ,measure of the missing angle is = 66° .
Solution (7) :
Let the missing angle be ∠m . Then :-
∠m + ∠50° = 180°
∠m = 180 - 50
∠m = 130°
The sum of these two angles will be equal to 180° as they are interior angles on the same side of transversal .
Therefore , the measure of the missing angle will be = 130° .
Solution (8) :
Let the missing angle be ∠n . Then :-
∠n + ∠105° = 180°
∠n = 180 - 105
∠n = 75°
The sum of these two angles will be will be equal to 180° as they are interior angles on the same side of transversal .
Therefore , the measure of the missing angle will be = 75° .
