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Can someone please help me with this!

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

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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
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