Question

If m a= 15 and m cd= 55, then m ge = ?
Photo attached need help ASAP

Answer 1

The measure of arc GE is 25°

Answer 2

The measure of arc GE is
`25\°`

Explanation:

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

In this problem

m<A is a external angle

so

`m<A=(1)/(2)(arc\ CD-arc\ GE)`

substitute the values and solve for the measure of arc GE

`15\°=(1)/(2)(55\°-arc\ GE)`

`30\°=(55\°-arc\ GE)`

`arc\ GE=55\°-30\°=25\°`