Answer:
[tex]x=4[/tex], [tex]y=61[/tex]
Step-by-step explanation:
Since the triangles are congruent, we already know that they have the same angles and sides.
We can solve for the missing side with this equation:
[tex]51=12x+3[/tex]
subtract [tex]3[/tex] from both sides
[tex]48=12x[/tex]
divide both sides by [tex]12[/tex]
[tex]x = 4[/tex]
Due to the Angle Theorems we already know [tex]2[/tex] of the angles on the triangle:
[tex]63[/tex] and [tex]56[/tex]
We can solve for the missing angle with this equation:
[tex]A+B+C=180[/tex]
[tex]63+56+y=180[/tex]
[tex]119+y=180[/tex]
subtract [tex]119[/tex] from both sides
[tex]y=61[/tex]
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