Question

Line EF is tangent to circle G at point A.

Circle G is shown. Line segment C A goes from one side of the circle to the other side. Line segment E F is a tangent and intersects the circle at point A. Point B is on the circle between points C and A. Angle C A E is 95 degrees.

If the measure of Angle C A E is 95°, what is the measure of Arc C B A?
90°
95°
190°
195°

Answer 1

190

Explanation:

Just took the test

Answer 2

`arc\ CBA=190^o`

Explanation:

we know that

The inscribed angle is half that of the arc it comprises.

so

`m\angle CAE=(1)/(2)(arc\ CBA)`

substitute the given value

`95^o=(1)/(2)(arc\ CBA)`

`arc\ CBA=2(95^o)=190^o`