# How do you prove?

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If a circle with centre O has two chords DE and FG which intersect at point H then prove that #/_DOF+/_EOG=2/_EHG# ?

If a circle with centre O has two chords DE and FG which intersect at point H then prove that

##### 1 Answer

Dec 16, 2017

Given

A circle with centre O has two chords DE and FG which intersect at point H .

RTP

we are to prove that

Construction : D and G are joined.

Proof

Now the central

So

Similarly the central

So

Adding [1] and [2] we get

(exterior angle of a triangle is equal to sum of two of the remote interior angles of the triangle.)