Question

Prove it!!!!


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Answer 1

1)as two chord are equal so the line ol and om is equal as both intercept on chord so form 90 degree

angle olm=angle oml ( as both side are equal so it's opposite angle are equal)

2 )angle Alm=angle cml( opposite angle ) as two equal chord intersect each other

I try hope it helps you

Answer 2

As perpendicular drawn from centre bisects the chord

So here At L and M chords are bisected

So OL and OM is perpendicular to AB and CD respectively

NOW in triangle OLB AND ODM

OB = OD ( RADIUS)

<OLB = <OMD = 90

LB = MD ( as AB = CD and L and M are mid points )

So SAS

THEREFORE OL = OM

IN OLM

OL = OM

SO it becomes isosceles

now angles opp.are equal to equal sides

So <OLM = <OML

<OLB = 90

<OMD = 90

<OLM = <OML

AS <ALM + <MLO.+ <OLB = 180( LINEAR)

ALSO <CML + <OML + <OMD = 180

AS MLO = OML

OLB = OMD = 90

HENCE <ALM = <CML