Question

12. In the diagram below, transversal TU intersects PQ and RS at V and W, respectively. If mZTVQ = 5x - 22 and mZTVQ = 3x + 10, for which value of x is PQ parallel to RS? P_ R W A. 6 B. 16 C. 24 D. 28

Answer 1

16 is the answer

Answer 2

The value of x is 16

Explanation:

With the information given, they tell us that TVQ can be expressed in two ways, but in the end the value must be the same because it is the same angle.

Thanks to this we can make the following equality:

`5x-22=3x+10`

Solving for x:

`\begin{gathered} 5x-3x=22+10 \\ 2x=32 \\ x=(32)/(2) \\ x=16 \end{gathered}`