Question

FIFTY POINTS! ASAP! DUE IN A FEW MINUTES! Just fill in the blanks!!

Answer 1

Answer:

This proof involves the definitions of congruence and supplementary angles, as well as some of the properties of equality.

 

∠1 and ∠2 are supplementary    // given

∠3 and ∠4 are supplementary    // given

∠1 ≅ ∠3    // given

 

m∠1 + m∠2 = 180°    // definition of supplementary angles

m∠3 + m∠4 = 180°    // definition of supplementary angles

 

m∠1 + m∠2 = m∠3 + m∠4    // transitive property of equality

 

m∠1 = m∠3    // definition of congruent angles

 

m∠1 + m∠2 = m∠1 + m∠4    // substitution property of equality (replaced m∠3 with m∠1)

 

m∠2 = m∠4    // subtraction property of equality (subtracted m∠1 from both sides)

 

∠2 ≅ ∠4    // definition of congruent angles

hope this helps

Step-by-step explanation: