Given triangle QRS = triangle TUV, find the measure of the given angles and the lengths of the given sides.

a. QS = 3v+1, TV = 5v - 9

b. m angleR = 4n + 4, m angleU = 5n-4

A. 16; 36

B. 8; 32

C. 5; 8

D. 16; 32

A. 16; 36

Step-by-step explanation:

If the triangles are equal

sides QS = side TV

3v+1 = 5v-9

subtract 3v from each side

3v+1 - 3v = 5v-3v-9

1 = 2v-9

add 9 to each side

1+9 = 2v-9+9

10 = 2v

divide by 2

10/2 = 2v/2

5=v

QS = TV = 3v+1 = 3 (5) + 1 = 16


4n+4 = 5n-4

subtract 4n from each side

4n+4 - 4n = 5n-4n - 4

4 = n-4

add 4 to each side

4+4 = n-4+4

8 = n