Circle Geo (1 Viewer)

[HeroWise]

its said a+b=c

I went angle hunting but am repeating myself

 

[KAIO7]

So you're required to show that a+b=c

Here are some hints:

The angle at the centre is twice the angle at the circumference subtended by the same arc.

The sum of the measures of the interior angles in any convex quadrilateral is 360 degrees.

Try to find a quadrilateral with angles expressed using a,b,c or a scaled version of them.

It's a 2 or 3 line solution.

 

[HeroWise]

I keep getting a+b=4c

 

[fan96]

Find the angles subtended at the circumference of the circle and then, using that information, focus on the diamond shaped quadrilateral formed at the top of the diagram to obtain a relation between the three angles.

 

[HeroWise]

Got it, realised i was drunk an did some error in algebra