Segments in Circles

TW=3, CW=x, TU=x+7, VW=6. Find the value of x.

x=2

Step-by-step explanation:

The diagram is attached below

TU=TW+WU

x+7=3+WU

WU=x+7-3

WU=x+4

To determine the value of x, we apply the theorem of intersecting chords.

TW X WU = CW X WV

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180

6e14 is the answer.