Question

Given triangle ABC congruent to triangle PQR, m angle B = 3v + 4 , and m angle Q = 8v - 6, find m angle B and m angle Q

A. 22
B. 11
C. 10
D. 25

Answer 1

To find m angle B and m angle Q, set the two angle expressions equal to each other and solve for v. Subsitute the value of v back into the given expressions to find the measures of angle B and angle Q.

Step-by-step explanation:

In the given question, we are given triangle ABC congruent to triangle PQR. We are also given that m angle B = 3v + 4 and m angle Q = 8v - 6. To find m angle B and m angle Q, we can set the two angle expressions equal to each other and solve for v. We can then substitute the value of v back into the given expressions to find the measures of angle B and angle Q.

Setting the two angle expressions equal to each other, we have:

3v + 4 = 8v - 6

Adding 6 to both sides and subtracting 3v from both sides, we get:

10 = 5v

Dividing both sides by 5, we have v = 2.

Substituting v = 2 back into the expressions for angle B and angle Q, we have:

m angle B = 3(2) + 4 = 10

m angle Q = 8(2) - 6 = 10

Therefore, m angle B = 10 and m angle Q = 10.

Answer 2

take a look at the order of the letters of ur triangles.
ABC and PQR.....it says they are congruent....so they r equal.
And the order of the letters means : < A = < P, and < B = < Q, and < C = < R.

so if < B = < Q....set them equal to each other and solve for v

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

now we sub our 2 in for v
< B = 3v + 4......3(2) + 4 = 10
< Q = 8v - 6.......8(2) - 6 = 10

so < B and < Q both equal 10 <==