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alexandr1967 [171]
4 years ago
13

Select the best attribute for the angle pair formed by two parallel lines intersected

Mathematics
1 answer:
Inga [223]4 years ago
7 0

Answer:

Corresponding Angles sum to 180°

Step-by-step explanation:

If a pair of parallel lines is cut by transversal that is not perpendicular to the parallel lines as shwon in the figures (attached below), then;

Four angles are acute, and four are obtuse.

  • All four acute angles are equal: 2=3=6=7
  • All four obtuse angles are equal: 1=4=5=8
  • The sum of acute and obtuse angles is 180:                                          for example, 1+2=180, 3+4=180, 5+6=180, 7+8=180

so the best attribute for the angle pair formed by two parallel lines intersected  by a transversal is that Corresponding Angles sum to 180°.

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Ira Lisetskai [31]

The part of the proof that uses the justification that angles with a combined degree of 90° are complementary is; Congruent Complements Theorem

<h3>How to prove complementary angles?</h3>

We are given;

m∠1 = 40°

m∠2 = 50°

∠2 is complementary to ∠3

We want to prove that ∠1 ≅ ∠3

Now, when the sum of two angles equals 90°, they are called complementary angles.

Now, looking at the angles, the proof that ∠1 ≅ ∠3 is Congruent Complements Theorem. This is because If two angles are complements of the same angle (or congruent angles), then the two angles are congruent.

Read more about Complementary angles at; brainly.com/question/98924

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Step-by-step explanation:

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