1 answer:
Answer:
Step-by-step explanation:
<u>According to one of the tangent-secant theorems,</u>
∠WVT = 
<u>Given that:</u>
∠WVT = (3x + 4)°
arc TW = (14x + 7)°
arc UW = (7x + 11)°
<u>Solution:</u>
3x + 4 = 1/2 (14x + 7 - (7x + 11))
3x + 4 = 1/2 (14x + 7 - 7x - 11)
3x + 4 = 1/2 ( 7x - 4 )
Multiply both sides by 2
2 ( 3x + 4 ) = 7x - 4
6x + 8 = 7x - 4
Combining like terms
7x - 6x = 8 + 4
x = 12
<u>Finding ∠WVT:</u>
∠WVT = (3x + 4)°
∠WVT = (3(12)+4)°
∠WVT = (36+4)°
∠WVT = 40°
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3><h3>Peace!</h3>
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