Question

Use the give figure and find the length of TU

Answer 1

TU =8

Explanation:

Since the angles SXT = TXU are the same

ST = TU

3x+2 = 7x-6

Subtract 3x from each side

3x-3x +2 = 7x-3x-6

2 =4x-6

Add 6 to each side

2+6 = 4x-6+6

8 = 4x

Divide by 4

8/4=4x/4

2=x

Since we know x=2, we can find TU

TU = 7x-6

=7(2) -6

= 14-6

= 8