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4 years ago

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

Mathematics

1 answer:

BabaBlast [244]4 years ago

8 0

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

$x+y=360\°$

we have

$x=230\°$

substitute in the equation and solve for y

$230\°+y=360\°$

$y=360\°-230\°=130\°$

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