Angle properties of a circle

[chifusomoni]

Kindly help.

 

[tkhunny]

1) Are you sure it CAN be determined?
2) Were you planning to show ANY effort?

 

[Dr.Peterson]

You might consider drawing segments from A to each other point, and marking congruent segments. Then think about one of the triangles formed.

 

[pka]

Kindly help.
View attachment 13323

Can you prove that \(\displaystyle \Delta BCA\) is equilateral?
If so that tells you about the measure of \(\displaystyle \angle CBA\).
Then what is your conclusion about \(\displaystyle \angle CBD\)

 

[tkhunny]

3) Do we know that the two circles have the same radius?

 

[chifusomoni]

don

1) Are you sure it CAN be determined?
2) Were you planning to show ANY effort?

't be stupid, I am sure of what I posted. Silly!!!

 

[MarkFL]

don

't be stupid, I am sure of what I posted. Silly!!!

It's not stupid to ask if a problem has a solution, particularly when it appears we have assumptions to make in order to proceed. What have you tried?

 

[pka]

3) Do we know that the two circles have the same radius?

Any time two circles each contain the center of the other circle then they must have the same radius.
Think about it, if \(\displaystyle A~\&~B\) are the two centers of the the circles (see above) the \(\displaystyle \overline{AB}\) is a radial segment for both circles.

 

[tkhunny]

Any time two circles each contain the center of the other circle then they must have the same radius.
Think about it, if \(\displaystyle A~\&~B\) are the two centers of the the circles (see above) the \(\displaystyle \overline{AB}\) is a radial segment for both circles.

Aw... You gave it away.