Math Question

darkzelkova

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So I got a math question the other day, and I haven't been able to figure it out. Anyone got any idea how I could do it?

Here it is: Point A and point B are the origins of their respective circles. CAE and CBF are line segments. Angle F is 78 degrees (how do I do that little symbol?), What is the measure of angle C?

mathq.gif


Any help would be greatly appreciated!

EDIT: Sorry about that, I did mean origin of the circle
 
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I got it, judging by the circle, it's equal to angle F. So...

180-78+78=24 degrees.
.......(156).................

Mwaahahaa! I solved it! Point A and B is there to confuse you.
 
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I got it, judging by the circle, it's equal to angle F. So...

180-78+78=24 degrees.
.......(156).................

Mwaahahaa! I solved it! Point A and B is there to confuse you.

Your faulty math aside, please explain this statement.
 
Let the point on the line segment AE where the circle B intercepts the triangle be point Z, and the point on line segment BC on circle A be point Y. First, draw line segment AB. AB is a radius of circle A. It is also a radius of circle B. If the same line segment is the radius of two circles, then the radius of the circles must be equal.

Your point being?
 
I got 8 also, my way was much more complex and involved drawing two radii from B to make two more triangles and using the arcs of the circle on the right. If anyone wants me to explain the way I did it, I can. But that really shouldn't be necessary.

spdcbr, shut up.
 
Let the point on the line segment AE where the circle B intercepts the triangle be point Z, and the point on line segment BC on circle A be point Y. First, draw line segment AB. AB is a radius of circle A. It is also a radius of circle B. If the same line segment is the radius of two circles, then the radius of the circles must be equal.

Your point being?

I needed to get another look at the diagram, so I posted it without finishing. Then I realized that where I was going was wrong.

"180-78+78=24 degrees"
Bad math... that equals precisely 180 degrees.

Uhhh...you take away from 180 and you get precisely 180?

Uhh... You forgot parenthesis...

x + 2x + 78 + 78 = 180
x = 8

Sigh, this is wrong, 2x is just a distraction.

I thought so...
 
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