Respuesta :

calculista
if  ΔABC ≅ ΔPQR
then
m∠B=m∠Q
therefore

3v+4= 8v-6------------ > 5v=10
v=2

m∠B = 3v + 4--------- > 10
m∠Q=10

The correct answer is m∠B=10 and m∠Q=10

frika

Answer:

[tex]m\angle B=m\angle Q=10[/tex]

Step-by-step explanation:

Congruent triangles have congruent corresponding sides and angles. If ΔABC ≅ ΔPQR, then

  • AB≅PQ;
  • AC≅PR;
  • BC≅QR;
  • ∠A≅∠P;
  • ∠B≅∠Q;
  • ∠C≅∠R.

If ∠B≅∠Q, then m∠B=m∠Q. Given m∠B=3v+4 and m∠Q=8v-6, then

[tex]3v+4=8v-6,\\ \\3v-8v=-6-4,\\ \\-5v=-10,\\ \\5v=10,\\ \\v=2.[/tex]

Then

[tex]m\angle B=3\cdot 2+4=10,\\ \\m\angle Q=8\cdot 2-6=10.[/tex]

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