clear this b4 leaving circles :) 550-600

[Night reader]

If O is the center of a circle, find x?
A. 44
B. 35
C. 27
D. 30
E. 33

(figure is attached below)

[goyalsau]

If O is the center of a circle, find x?
A. 44
B. 35
C. 27
D. 30
E. 33

(figure is attached below)

I think answer should be
E - 33

[Night reader]

I think answer should be
E - 33

you cleared the problem with a solution?

[Night reader]

If O is the center of a circle, find x?
A. 44
B. 35
C. 27
D. 30
E. 33

(figure is attached below)

I think answer should be
E - 33

The question is open, we have no solution so far

[beat_gmat_09]

Agree with goyalsau, the answer is 33, below is my solution.




refer above fig.


y+66+a=180 .......... (1)
x+(x+y)+a=180
a=180-2x-y
substitute a in (1)
y+66+180-2x-y=180
2x=66
x=33

[Geva@EconomistGMAT]

An inscribed angle is half of the central angle that defines the same arc.

x is an inscribed angle lying on the same arc as a central angle. The central angle supplements 114 to 180 (straight line), so the central angle is 180-114=66. Thus, x must equal half of 66, or 33.

[Night reader]

An inscribed angle is half of the central angle that defines the same arc.

x is an inscribed angle lying on the same arc as a central angle. The central angle supplements 114 to 180 (straight line), so the central angle is 180-114=66. Thus, x must equal half of 66, or 33.

Thanks Geva!

Goyalsau and beat_gmat 09, this looks as we spend extra time here
https://www.analyzemath.com/Geometry/ins ... rcles.html

[beat_gmat_09]

An inscribed angle is half of the central angle that defines the same arc.

x is an inscribed angle lying on the same arc as a central angle. The central angle supplements 114 to 180 (straight line), so the central angle is 180-114=66. Thus, x must equal half of 66, or 33.

Yeah, this is the best solution. I knew this one but it didn't struck me

[Geva@EconomistGMAT]

An inscribed angle is half of the central angle that defines the same arc.

x is an inscribed angle lying on the same arc as a central angle. The central angle supplements 114 to 180 (straight line), so the central angle is 180-114=66. Thus, x must equal half of 66, or 33.

Yeah, this is the best solution. I knew this one but it didn't struck me

There's a reason they placed the entire thing in a circle. In questions asking for angles in a circle, think inscribed/central angles first, then triangle properties 2nd.

[beat_gmat_09]

An inscribed angle is half of the central angle that defines the same arc.

x is an inscribed angle lying on the same arc as a central angle. The central angle supplements 114 to 180 (straight line), so the central angle is 180-114=66. Thus, x must equal half of 66, or 33.

Yeah, this is the best solution. I knew this one but it didn't struck me

There's a reason they placed the entire thing in a circle. In questions asking for angles in a circle, think inscribed/central angles first, then triangle properties 2nd.

Thanks Geva !
Very useful.