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Match the reasons with the statements in the proof.
Given: c | | d, m 4 = m 5
Prove: m 7 = m 8
1. c||d, m∠4=m∠5
Substitution
2. m∠4 = m∠7
Vertical angles are equal.
3. m∠5 = m∠8
If lines ||, alternate interior angles are equal.
4. m∠7 = m∠8
Given

Match the reasons with the statements in the proof Given c d m 4 m 5 Prove m 7 m 8 1 cd m4m5 Substitution 2 m4 m7 Vertical angles are equal 3 m5 m8 If lines alt class=

Respuesta :

budwilkins
Given: c | | d, m 4 = m 5
Prove: m 7 = m 8
1. c||d, m∠4=m∠5
GIVEN
2. m∠4 = m∠7
If lines ||, alternate interior angles are equal.
3. m∠5 = m∠8
Vertical angles are equal.
4. m∠7 = m∠8
Substitution
boffeemadrid

Answer:

 

Step-by-step explanation:

Given: c is parallel to d and ∠4=∠5.

To prove: ∠7=∠8

Proof:

Statement                                                Reason

1. c║d, ∠4=∠5                                           Given

2.∠4=∠7                                    If lines ||, alternate interior angles are equal.

3.∠5=∠8                                             Vertical angles are equal

Since, ∠4=∠5, therefore ∠7=∠8

4.∠7=∠8                                               Substitution

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