Question

Can someone please help me with these! I don’t understand them

Answer 1

Answer:

Question #1

m∠4 + m∠7 = 180° - Given.

∠4 and ∠7 are supplementary angles - Definition of supplementary angles.

∠7 and ∠2 form a linear pair - Definition of linear pair.

∠7 and ∠2 are supplementary angles - Definition of linear pair.

m∠7 + m∠2 = 180° - Definition of supplementary angles.

m∠2 = m∠4 - Substitution property.

c ║ d - Converse of corresponding angles postulate.

Question #2

m∠3 = m∠8 - Given.

∠8 and ∠6 form a linear pair - Definition of linear pair.

∠8 and ∠6 are supplementary angles - Definition of linear pair.

m∠8 + m∠6 = 180° - Definition of supplementary angles.

∠3 and ∠6 are supplementary angles - Substitution property.

m∠3 + m∠6 = 180° - Definition of supplementary angles.

Question #3

p ║ q - Given.

∠1 ≅ ∠5 - Given.

∠1 ≅ ∠2 - Alternate interior angle theorem.

∠2 ≅ ∠5 - Substitution property.

~Hope this helps!~