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Reasons
1. Given
2. Angle Addition Postulate
Statements
t
1. AD || BC
2. mZ3+mZ5 =mZDAB
3. m24+mZDAB = 180°
4. m24+ mZ3+mZ5 = 180
5. Z1224, 22 25
6. mZ1 = m/4, mZ2 = mZ5
7. mZ1+mZ2+ m3 = 180°
3. Linear Pair Postulate
4. Substitution Property of Equality
15
?
6. Definition of Congruent Angles
7.
?
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Alternate Interior Angles Theorem Alternate Exterior Angles Theorem Corresponding Angles Postulate Consecutive Interior Angles
Angle Addition Postulate

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Answer:

Reasons 1. Given

2. Angle Addition Postulate

Statements

+

1. AD|| BC

2. mZ3+m25 mZDAB

3. m24+mZDAB = 180*

4. m24+mZ3+ m25 180°

5. 21 $ 24, 22 & 25

6. mZ1 m24, m22 m25

7. mZ1+m/2+mZ3 180°

3. Linear Pair Postulate

4. Substitution Property of Equality

15.

2

6. Definition of Congruent Angles

7

?

The

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