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ANSWER

[tex]x = 4[/tex]
[tex]y = 2[/tex]





EXPLANATION.

For the top triangle, the third angle
[tex] = 180 - 148 - 18 = 14 \degree[/tex]

Since the two triangles are congruent, the corresponding angles are equal.


This implies that,
[tex]3x + y = 14 - - - (1)[/tex]

and
[tex]5x - y = 18 - - - (2)[/tex]

If we add the two equations, we obtain,

[tex]8x = 32[/tex]

We divide both sides by 8 to get,

[tex]x = 4[/tex]


We put this value in to equation 1 to get,


[tex]3(4) + y = 14[/tex]


This implies that,

[tex]12 + y = 14[/tex]


[tex]y = 14 - 12 = 2[/tex]

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