Given AABC = APQR, <B = 3v + 4, and <Q< = 8v - 6, find <B and <Q.

Question

(1 point)
• 11
0 22
• 25
• 10

Answer 1

Given that AABC is congruent to APQR, we know that the corresponding angles are equal. Therefore, <B = <Q.

We have <B = 3v + 4 and <Q = 8v - 6.

To find the value of v, let's equate <B and <Q.

3v + 4 = 8v - 6

Subtracting 3v from both sides, we get:

4 = 5v - 6

Adding 6 to both sides, we get:

10 = 5v

Dividing by 5, we get:

v = 2

Now that we have the value of v, we can substitute it back into either <B or <Q to find the angle measure.

Using <B = 3v + 4:

<B = 3(2) + 4
<B = 6 + 4
<B = 10

Therefore, <B = 10 degrees.

Since <B = <Q, we can conclude that <Q is also equal to 10 degrees.

In conclusion, <B = 10 and <Q = 10.