Question

Question Attached. I need a confirmation on a geometry question. Its about Circles.

Answer 1

A few of my friends and I think the answer is either 140 degrees or 288 degrees

Answer 2

There's a theorem connecting the arc lengths and the angle, right? What is it? I'm kinda forgetting it.

Answer 3

I got 288, just by: 360-72=288
And I got 140 by plugging in and solving the equation for the theorem.

Answer 4

I shall show the theorem.

Answer 5

Oh wait, i didnt see 72. Sorry. Yup its right then.

Answer 6

And the equation for the theorem is..
m<1= 1/2(x-y)

Then I plugged in stuff.
soo..
34=1/2(x-72)
Simplified
34=1/2x-36
70=1/2x
140=x

Answer 7

So now I am confused as to which answer of mine is correct.
The 288 degrees OR the 140 degrees.

Answer 8

So uhm, do you know which one out of those is right?

Answer 9

It should be 288? And i dont know remember that theorem i guess. Sorry, cant help you with this.

Answer 10

lol its ok.

Answer 11

Oh wait. 72 isnt the measure of the minor arc. Its the measure of the angles of the triangle. So i guess, if it has to be one them, it should be 140. But i'm not sure about it.

Answer 12

Yeah, I thought so too but still confused.

Answer 13

@saifoo.khan @satellite73 @amistre64 Wanna have a go?

Answer 14

@MertsJ
@ash2326

Answer 15

The 72º is cannot be the arc AB, or we have inconsistent data.

But we can use your theorem: (y-x)/2 = 34
we know x+y= 360 so y= 360-x and we can sub in for y to get
(360-x-x)/2 =34
180-x= 34
x= 180-34= 146

Answer 16

y (the arc ACB) is 360-x= 214

Answer 17

actually, i agree with @phi