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12 April, 10:07

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

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  1. 12 April, 10:29
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    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.
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