Question

Given ΔABC ≅ ΔPQR, m∠B = 3v + 4, and m∠Q = 8v - 6 vind m∠B and m∠Q.

Answer 1

`m\angle B=m\angle Q=10`

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

`3v+4=8v-6,\\ \\3v-8v=-6-4,\\ \\-5v=-10,\\ \\5v=10,\\ \\v=2.`

Then

`m\angle B=3\cdot 2+4=10,\\ \\m\angle Q=8\cdot 2-6=10.`

Answer 2

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