Show interior angle theorem step by step
No Spam
Share
Show interior angle theorem step by step
No Spam
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
follow me and make my answer brainlist plz plzzzzzzz plzzzzzzz plzzzzzzz plzzzzzzz plzzzzzzzzzzzz
Step-by-step explanation:
m∠8=180°−m∠1 =m∠2 . Therefore, ∠2≅∠8 . You can prove that ∠3≅∠5 using the same method. The converse of this theorem is also true; that is, if two lines k and l are cut by a transversal so that the alternate interior angles are congruent, then k∥l .
Since k || 1, by the Corresponding Angles Postulate,
angle 1 ≈ angle 5.
Therefore, by the definition of congruent angles,
m angle 1 = m angle 5
Since angle 1 and angle 2 form a linear pair, they are supplementary, so
m angle 1+ m angle 2 = 180°.
Also, 25 and 28 are supplementary, so
m/ angle 5+m angle 8 = 180°.
Substituting m angle 1 for m angle 5, we get
m angle 1+m/ angle 8 = 180°.
Subtracting m angle 1 from both sides, we have
m angle 8= 180° - m angle 1
= m angle 2
Therefore, angle 2 = 28.
You can prove that angle 3 = angle 5 using the same method.
hope it helps you