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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-example-1
User Herard
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1 Answer

4 votes

Answer:


\huge\boxed{F.\ 44}

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\\\\(3x)/(3)=(132)/(3)\\\\x=44

If ABCD is a parallelogram, what is the value of X? A. 69 B. 46 C. 37 D. 82 E. 38 F-example-1
User Rafal Spacjer
by
5.7k points