Answer:
- 102°
- 56°
- 104°
- 138°
- 95°
- 133°
Step-by-step explanation:
It is helpful to remember the names and relationships of angles where a transversal crosses parallel lines. Here you have ...
alternate exterior angles (fig 1) (congruent) . . . x = 102°
corresponding angles (fig 2) (congruent) . . . x = 56°
consecutive interior angles (fig 3) (supplementary) . . . x = 180° -76° = 104°
vertical angles (fig 4) (congruent) . . . x = 138°
consecutive exterior angles (fig 5) (supplementary) . . . x = 180° -85° = 95°
alternate interior angles (fig 6) (congruent) . . . x = 133°
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Additional comment
In most of these figures, the angles are obviously either acute or obtuse. Where a transversal crosses parallel lines, all of the obtuse angles are congruent, and all of the acute angles are congruent. The obtuse and acute angles are supplementary.
