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24 votes
Find the value of x.
Pleaseeee I need helppp!!!!!!

Find the value of x. Pleaseeee I need helppp!!!!!!-example-1
User Scott Severance
by
2.7k points

1 Answer

15 votes
15 votes

Answer:

x = 38

Explanation:

The measure of a vertex angle outside a circle = ½(difference of intercepted arcs)

Thus:

m<S = ½(UV - TW)

m<S = 34°

UV = (3x - 2)°

TW = (x + 6)°

Plug in the values into the equation

34 = ½((3x - 2) - (x + 6))

34 = ½(3x - 2 - x - 6)

34 = ½(2x - 8)

Multiply both sides by 2

34*2 = 2x - 8

68 = 2x - 8

68 + 8 = 2x (addition property of equality)

76 = 2x

76/2 = x (division property of equality)

38 = x

x = 38

User Kirti Thorat
by
2.6k points