Question

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

Answer 1

#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