What is the value of x? 160° x = 519

Mathematics

2 answers:

forsale [732]3 years ago

6 0

Answer:

x = 58

Step-by-step explanation:

Angle Formed by Two Secants = 1/2(difference of Intercepted Arcs)

51 =1/2 (160-x)

Multiply each side by 2

102 = 160-x

Subtract 160 from each side

102-160 = -x

-58 = -x

Multiply by -1

58 =x

erik [133]3 years ago

4 0

Answer:

x = 58

Step-by-step explanation:

$51 \degree = \frac{1}{2} (160 \degree - x \degree) \\ \\ 51 \times 2 \degree = 160 \degree - x \degree \\ \\ 102 \degree = 160 \degree - x \degree \\ \\ x \degree = 160 \degree - 102 \degree \\ \\ x \degree = 58 \degree \\ \\ \huge \red{ \boxed{x = 58}}$

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