Question

In circle D, if the measure of arc Gec is 230 , what is the measure of minor arc GFC

Answer 1

Answer:

The measure of minor arc GFC is $130\°$

Step-by-step explanation:

we know that

In a circle the sum of the major arc plus the minor arc is equal to 360 degrees

see the attached figure to better understand the problem

Let

x------> the major arc GEC

y-----> the minor arc GFC

so

$x+y=360\°$

we have

$x=230\°$

substitute in the equation and solve for y

$230\°+y=360\°$

$y=360\°-230\°=130\°$