<h3>Answer:</h3>
All acute angles are 72.5°; all obtuse angles are 107.5°.
<h3>Explanation:</h3>
Angles on the same side of a transversal cutting parallel lines have measures that total 180°. If o and a represent the measures of the obtuse and acute angles, respectively, then we have ...
... o + a = 180
... o - a = 35
Adding these two equations gives ...
... 2o = 215
... 215/2 = o = 107.5 . . . . degrees
Then the other angle is ...
... a = 107.5 - 35 = 72.5 . . . . degrees
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All corresponding angles have the same measures. All vertical angles have the same measures. So the 8 angles that arise from the intersection of the transversal with these two parallel lines will have one or the other of these two measures.
The answer is always negative because if you multiply like signs, the answer is positive, unlike signs are always negative
Answer:
Alternate exterior angles : ∠g = ∠b , ∠h = ∠a (opposite sides and on outer side)
Alternate interior angles : ∠c = ∠f , ∠e = ∠d (opposite sides and on inner side)
Consecutive interior angles : ∠c = ∠e , ∠d = ∠f (same sides and on same line)
Corresponding angles : ∠e = ∠a, ∠f = ∠b, ∠g = ∠c, ∠h = ∠d (same sides on the line)
Linear pairs : ∠c and ∠e, ∠d = ∠f, (they add to 180)
Vertical angles : ∠c =∠b, ∠d = ∠a, ∠g=∠f, ∠e = ∠h (vertical angles)
