Question

Geometry geometry geometry

Answer 1

5) 115- alternate interior angles

6) 66 - alternate interior angles

7) 130 - consecutive interior angles

8) 75 - consecutive interior angles

Explanation:

Answer 2

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° .