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GalinKa [24]
3 years ago
11

Given:

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
4 0

Answer:

The correct match of statement with reasons is below.

Step-by-step explanation:

1. AB||DC and AB = CD                   Given

2. ∠1 = ∠4                                        If lines are parallel, then alternate interior

                                                         angles are equal.

3. AC=AC                                        Reflexive

4.Triangle ABC is                           SAS

congruent to triangle CDA.

5. ∠2 = ∠3                                      CPCTE.      

<em>Hope I helped :3</em>

maria [59]3 years ago
3 0

Answer:

The correct match of statement with reasons is below.

Step-by-step explanation:

1. AB||DC and AB = CD                   Given

2. ∠1 = ∠4                                        If lines are parallel, then alternate interior

                                                        angles are equal.

3. AC=AC                                        Reflexive

4.Triangle ABC is                           SAS

congruent to triangle CDA.

5. ∠2 = ∠3                                      CPCTE.      

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Answer:

42°

Step-by-step explanation:

→ Since this quadrilateral is a parallelogram, ∠S is equal to ∠R. Let's represent the situation in terms of equations

6x + 6 = 3x + 24

→ Minus 3x from both sides to collect the 'x' terms

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<em>⇒ The value of x is 6, but this isn't the measurement of ∠S, we need to substitute in x = 6 into the expression 6x + 6</em>

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Step-by-step explanation:

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