High School

If ABCD is a parallelogram, what is the value of X?


A. 69

B. 46

C. 37

D. 82

E. 38

F. 44

If ABCD is a parallelogram what is the value of X A 69 B 46 C 37 D 82 E 38 F 44

Answer :

Answer:

[tex]\huge\boxed{F.\ 44}[/tex]

Step-by-step explanation:

(look at the picture)

[tex]m\angle A+m\angle D=180^o\\\\m\angle A=42^o\\m\angle D=(3x+6)^o\\\\\text{substitute}\\\\42+3x+6=180\\\\3x+48=180\\\\3x+48-48=180-48\\\\3x=132\\\\\dfrac{3x}{3}=\dfrac{132}{3}\\\\x=44[/tex]

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