54.5k views
2 votes
Can someone please help me with this!

Can someone please help me with this!-example-1

1 Answer

3 votes

Answer:

Question #4

∠1 ≅ ∠5 - Given.

∠3 ≅ ∠4 - Given.

∠4 ≅ ∠5 - Vertical angle theorem.

∠1 ≅ ∠4 - Transitive property of congruence.

t ║ v - Converse alternate interior angles theorem.

Question #5

∠5 ≅ ∠16 - Given.

∠2 ≅ ∠4 - Given.

CD ║ HG - Alternate exterior angle theorem.

∠16 ≅ ∠14 - Corresponding angle theorem.

∠14 ≅ ∠5 - Transitive property of congruence.

∠11 and ∠5 form a linear pair - Definition of linear pair.

∠11 and ∠5 are supplementary - Definition of linear pair.

∠11 and ∠14 are supplementary - Substitution property.

Question #6

l ║ m - Given.

∠4 ≅ ∠7 - Given.

AD ║ BE - Alternate interior angle theorem.

∠8 ≅ ∠10 - Corresponding angle theorem.

∠10 and ∠9 form a linear pair - Definition of linear pair.

∠10 and ∠9 are supplementary - Definition of linear pair.

∠8 and ∠9 are supplementary - Substitution property.

~Hope this helps!~

User Sam Hobbs
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories