Since there is no same-side exterior angles theorem, from the given image, we can say that;
Same Side Exterior angles are Supplementary but not Congruent.
- Yes there is no same side exterior angles theorem. However, like in the image in the question, we see that two parallel lines are intersected by a transversal line and this intersection forms same side interior angles which are between the parallel lines and same side exterior angles which are outside the parallel lines. These same side exterior angles are given as m∠1 and 72°.
- Now, due to the fact alternate interior and alternate exterior angles are congruent, the linear pairs of angles will be supplementary. Thus, if linear pairs are supplementary, then same side exterior angles are also supplementary but not congruent. This means they are not equal to each other but their sum is equal to 180°.
m∠1 = 180° - 72°
m∠1 = 108°
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