# IGCSE Circles question help

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#1
Hi,
I am not sure how to do the attached question - Find, in terms of x, angle AOX.
Any help would be much appreciated.
Thank you!
0
5 years ago
#2
(Original post by musicangel)
Hi,
I am not sure how to do the attached question - Find, in terms of x, angle AOX.
Any help would be much appreciated.
Thank you!
What is angle BCO in terms of x?

Next, what is CBO? (this step can be skipped if you now how)

What is OBA?

What kind of triangle is OAB?

angle BAO?

angle AOB?

angle AOX?
1
#3
(Original post by BuryMathsTutor)
What is angle BCO in terms of x?

Next, what is CBO? (this step can be skipped if you now how)

What is OBA?

What kind of triangle is OAB?

angle BAO?

angle AOB?

angle AOX?

What is angle BCO in terms of x? x

Next, what is CBO? (this step can be skipped if you now how) 180 - 2x

What is OBA? 180 - (180 - 2x) = 180 - 180 + 2x = 2x

What kind of triangle is OAB? Isosceles

angle BAO? 2x

angle AOB? 180 - 4x

angle AOX? 180 - (180 - 3x) = 180 - 180 + 3x = 3x

Thank you so much for your help!

There is another question which I am stuck on which I have attached.
Find, in terms of x, angle BCD

I know that
Angle ABC = x
The obtuse angle COA is 360-2x.
The angle BAO = angle DCO
However, I don't know how to make a connection between them.

Thank you
1
5 years ago
#4
(Original post by musicangel)
There is another question which I am stuck on which I have attached.
Find, in terms of x, angle BCD

I know that
Angle ABC = x
The obtuse angle COA is 360-2x.
The angle BAO = angle DCO
However, I don't know how to make a connection between them.

Thank you
Consider the angles in the triangle BCD...

You might kick yourself when you spot this one.
1
#5
(Original post by notnek)
Consider the angles in the triangle BCD...

You might kick yourself when you spot this one.
Ohhhh... Thank you!!!
0
#6
Hi,
There is a question which is ABCDEF is a hexagon inscribed in a circle. By joining AD, prove that angle ABC + angle CDE + angle EFA = 360 degrees.

Joining AD would make 2 trapeziums but I do not know what to do.
Thank you
0
5 years ago
#7
(Original post by musicangel)
Hi,
There is a question which is ABCDEF is a hexagon inscribed in a circle. By joining AD, prove that angle ABC + angle CDE + angle EFA = 360 degrees.

Joining AD would make 2 trapeziums but I do not know what to do.
Thank you
0
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