Match the reasons to the statements in the proof.

1. m∠1 + m∠5 = 180° and m∠1 + m∠4=180°
subtraction property of equality
2. m∠1 + m∠5 = m∠1 + m∠4
substitution
3. m∠5 = m∠4
if alternate interior angles equal, then lines are ||.
4. ray yz is parallel to ray uv
given

1. and ; given

2. ; substitution

3.; subtraction property of equality

4. Ray YZ is parallel to ray UV; if alternate interior angles equal , then lines are parallel.

Step-by-step explanation:

Given

To prove that YZ is parallel to UV.

Proof:

1.Statement: and

Reason; Given

2. Statement:

Reason: By using substitution property

3.Statement:

Reason: Subtraction property of equality.

4.Statement: Ray YZ is parallel to Ray UV

Reason: If alternate interior angles equal, then lines are parallel.

what is the question? i am guessing you are looking for the area.

to find an area, you have to do length x width.

in this case, it would be 12 ft x 4 ft = 48 sq. ft