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30-11-2019
Mathematics

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Angle Cis an inscribed angle of circle P. Angle C measures (3x+5)^arc AB measures (16x)^arc. Find X.

Respuesta :

calculista calculista

06-12-2019

Answer:

x=1

Step-by-step explanation:

we know that

The inscribed angle is half that of the arc it comprises

so

In this problem

m∠C=(1/2)arc AB

we have

m∠C=(3x+5)°

arc AB=(16x)°

substitute the values

[tex](3x+5)\°=(1/2)(16x)\°[/tex]

solve for x

[tex]3x+5=8x\\8x-3x=5\\5x=5\\x=1[/tex]

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