Question

The figure below shows rhombus ABCD.

Rhombus ABCD with angles 1, 2, 3, and 4 labeled; sides AB, BC, CD, and AD are congruent

The paragraph proof with missing statement proves that the opposite interior angles of the rhombus are congruent

Which statement can be used to fill in the blank space?

The figure is a rhombus which is given. The definition of a rhombus guarantees that Line segment AB and Line segment CD are parallel and that Line segment AD and Line segment BC are parallel. ∡1 + ∡2 = 180 and ∡2 + ∡3 = 180 because they are same side interior angles of two parallel lines

Answer 1

Someone please help

Answer 2

This is the other half of the question with the answers.

By the transitive property of equality, ∡1 + ∡2 = ∡2 + ∡3. Using the subtraction property of equality, ____________________________________. Similarly, ∡2 + ∡3 = 180 and ∡3 + ∡4 = 180 because they are same side interior angles of two parallel lines cut by a transversal. Therefore, using the transitive property of equality, ∡2 + ∡3 = ∡3 + ∡4. Using the subtraction property of equality,
∡2 = ∡4. Since ∡1 = ∡3 and ∡2 = ∡4 by the definition of congruence, these opposite angles are congruent.

∡1 + ∡2 = ∡3 + ∡4

∡1 + ∡2 = 180 and ∡2 + ∡3 = 180

∡1 + ∡2 = ∡2 + ∡3

∡1 = ∡3

Answer 3

Since m<1 + m<2 = 180 and
m<2 + m<3 = 180
then m<1 + m<2 = m<2 + m<3
sp m<1 = m<3

Answer 4

omg thank you so much!(: