3 years ago

Find the value of x.

Mathematics

1 answer:

dolphi86 [110]3 years ago

4 0

Answer: 10

Step-by-step explanation:

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1. Provide reasons for the proof. Given:

marysya [2.9K]

Given that Line m is parallel to line n.
We prove that 1 is supplementary to 3 as follows:

$\begin{tabular}
{|c|c|}
Statement&Reason\\[1ex]
Line m is parallel to line n&Given\\
\angle1\cong\angle2&Corresponding angles\\
m\angle1=m\angle2&Deifinition of Congruent angles\\
\angle2\ and\ \angle3\ form\ a\ linear\ pair&Adjacent angles on a straight line\\
\angle2\ is\ supplementary\ to\ \angle3&Deifinition of linear pair\\
m\angle2+m\angle3=180^o&Deifinition of supplementary \angle s\\
m\angle1+m\angle3=180^o&Substitution Property
\end{tabular}$
$\begin{tabular}
{|c|c|}
\angle1\ is\ supplementary\ to\ \angle3&Deifinition of supplementary \angle s
\end{tabular}$