441,839 views
31 votes
31 votes
I really need help with number 5 find the value of x that makes abcd a parallelogram.

I really need help with number 5 find the value of x that makes abcd a parallelogram-example-1
User JJS
by
2.8k points

1 Answer

22 votes
22 votes
Answer:

x = 64.5

Step-by-step explanation:

Consecutive angles of a parallelogram are supplementary, that is, they sum up to 180 degrees


\begin{gathered} (3x-98)+(x+20)=180 \\ \\ 3x+x-98+20=180 \\ \\ 4x-78=180 \\ \\ 4x=180+78 \\ \\ 4x=258 \\ \\ x=(258)/(4)=64.5 \end{gathered}

User Mathieu Seiler
by
2.6k points