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AURORKA [14]
3 years ago
13

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

Mathematics
2 answers:
8_murik_8 [283]3 years ago
6 0
For the answer to the question above, 
<span><J = 100
</span><span>because they are similar they have the same angles
</span>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. 
<A = <J
<B = <K
<C = <L

<span>now you can draw two generic triangles, which have the same three angles, but label the angles accordingly, so they match up.
</span>
<span>then by correspondance we can fill in
</span>nightowlthe third angle can be found by the fact that 
the three angles must add up to 180.
alexandr1967 [171]3 years ago
5 0

Answer:

100°

Step-by-step explanation:

Using the congruence statement, we know that ∠A≅∠J, ∠B≅∠K, and ∠C≅∠L.∠

Since m∠B = 55, then m∠K = 55.

Along with ∠L, this gives us 2 of the 3 angles of triangle ABC.  We know that the sum of the measures of the angles in a triangle is 180°; this means that

∠J = 180-(55+25) = 180-80 = 100°

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