Question

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

Answer 1

x=1

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

`(3x+5)\°=(1/2)(16x)\°`

solve for x

`3x+5=8x\\8x-3x=5\\5x=5\\x=1`