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Figure ABCD is a parallelogram. What is the value of x? A B O 6 ET O 7 8 5x + 3 38 09 D С​

Sagot :

jaybloomfield11

Answer:

Given: It is given that  and .

To Prove: ABCD is a parallelogram.

Statements                                                                            

1.  and            

Reason: Given                                      

2.  are alternate interior angles      

Reason: Def of alternate interior angles

3.                                                

Reason: Alternate interior angles are congruent

4.                                                              

Reason: Reflexive property

5.                                                  

Reason: SAS congruency theorem

6.                                                        

Reason: Corresponding Parts of Congruent triangles are Congruent (CPCTC)

7. ABCD is a parallelogram                                  

Reason: Parallelogram Side Theorem

Step-by-step explanation:

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The value of x in the parallelogram is 7.

How to calculate the parallelogram?

In a parallelogram, it should be noted that the opposite angles are of equal measure.

In this case, 5x + 3 = 38

Collect like terms

5x = 38 - 3

5x = 35

x = 35/3

x = 7

In conclusion, x is 7.

Learn more about parallelogram on:

https://brainly.com/question/3050890

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