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3 years ago

Find mZWVT.

Mathematics

1 answer:

Yakvenalex [24]3 years ago

8 0

Answer:

$\huge\boxed{\sf$

Step-by-step explanation:

<u>According to one of the tangent-secant theorems,</u>

∠WVT = $\frac{1}{2} (arc\ TW-arc\ UW)$

<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°

$\rule[225]{225}{2}$

Hope this helped!

<h3>~AH1807</h3><h3>Peace!</h3>

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