Given △ABC≅△JKL, m∠B=55°, and m∠L=25°, what is the measure of ∠J?

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Sincere White

30 December, 23:35

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Double Double · Answer 1

For the answer to the question above,

because they are similar they have the same angles

The two triangles are similar, so they must have corresponding angles. Thats one way to define similarity, it can dilate (zoom in / zoom out), but the angles are preserved. You can also define similarity in terms of the proportionality of the sides.

"Given △ABC≅△JKL"

The order of the letters counts.

now you can draw two generic triangles, which have the same three angles, but label the angles accordingly, so they match up.

then by correspondance we can fill in

nightowlthe third angle can be found by the fact that

the three angles must add up to 180.