Question

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

Answer 1

Answer:

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

<r = <u

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

<r = <u = 4n+4 = 4*8+4 = 36