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1 answer:
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Answer:
Substitution Property
Step-by-step explanation:
So we know that:
And we also know that:
And by using a specific property, we get that:
Essentially, we <em>substituted</em> B for A.
So, this is an example of the substitution property, where if two sides/angles are congruent, we can substitute them for each other.
Answer:
See explanation
Step-by-step explanation:
16. Two parallel lines are cut by transversal. Angles with measures and
are alternate exterior angles. By alternate exterior angles, the measures of alternate exterior angles are the same:
Then
17. Two parallel lines are cut by transversal. Angles with measures and
are alternate interior angles. By alternate interior angles, the measures of alternate interior angles are the same:
Then
18. Two parallel lines are cut by transversal. Angles with measures and
are alternate exterior angles. By alternate interior angles, the measures of alternate exterior angles are the same:
Then
19. The diagram shows two complementary angles with measures and
. The measures of complementary angles add up to
then
Hence,
Check:
20. Angles and
are vertical angles. By vertical angles theorem, vertical angles are congruent, so
Hence,
21. and
are supplementary. The measures of supplementary angles add up to
so
Therefore,