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5 votes
Given ABC PQR, m < B = 3v +4, and m<Q = 8v -6, find m<B and m<Q

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

2 Answers

6 votes

Answer

a.22

b.11

c.10

d.25

The answer is C. 10

User Kilise
by
7.0k points
3 votes
Since both triangles ABC and PQR are congruent, this means that measure angle B = measure angle Q

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

Therefore:
measure angle B = 3v + 4 = 3(2) + 4 = 6+4 = 10
measure angle Q = 8v - 6 = 8(2) - 6 = 16-6 = 10
You will find that the two angles are equal due to the triangles being congruent as mentioned before
User Ajmal VH
by
7.2k points