Question

Help please. find the values of x and y and if you feel like it, show your work

Answer 1

Answer:

$x=4$, $y=61$

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:

$51=12x+3$

subtract $3$ from both sides

$48=12x$

divide both sides by $12$

$x = 4$

Due to the Angle Theorems we already know $2$ of the angles on the triangle:

$63$ and $56$

We can solve for the missing angle with this equation:

$A+B+C=180$

$63+56+y=180$

$119+y=180$

subtract $119$ from both sides

$y=61$

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