Question

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

A. 69
B. 46
C. 37
D. 82
E. 38
F. 44

Answer 1

Answer:

$\huge\boxed{F.\ 44}$

Step-by-step explanation:

(look at the picture)

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