Given ∆mtw is congruent to triangle ∆bgk, find the values of x and y.

Congruent triangles have equal side and angle measures.

The values of x and y 12 and 8

means that

So, we have:

Add 3 to both sides

Divide both sides by 4

Next, we calculate angle M using:

Recall that:

So, we have:

Substitute 45 for G

Subtract 86 from both sides

Recall that

So, we have:

Subtract 6 from both sides

Divide both sides by 11

So, we have:

and

Hence, the values of x and y are 12 and 8, respectively

Read more about congruent triangles at:

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