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Solve for the value of x in each of problem. show your complete solution

Solve for the value of x in each of problem. show your complete solution-example-1

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#1

From the given figure

Triangle MEN congruent to triangle YOB

That means

Since

The sum of the measure of the angles in a triangle is 180 degrees

Then to find m
\begin{gathered} \angle M=180^(\circ)-\angle N-\angle E \\ \angle M=x-7 \\ \angle N=90 \\ \angle E=40 \\ x-7=180-90-40 \\ x-7=50 \end{gathered}Add 7 to both sides


\begin{gathered} x-7+7=50+7 \\ x=57 \end{gathered}

The value of x is 57

User Shiham
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