Question

In the figure (1) given below AB || CR and LM || QR . (i)Prove that BM / MC = AL / LQ (ii) Calculate LM || QR , given that BM : MC = 1 : 2. No links required , just give the complete solution.Plz help me meritnation (-: :-)

Answer 1

In△MBA&△MCR

∠MBA=∠MCR{ given AB∣∣CR and we take BC as transversal line} 

∠AMB=∠RMC { vertically opposite angle} 

So,△MBA∼△MCR{ By AA rule} 

ThenMCBM=MRAM−(i)

 and In△ARQ,given LM∣∣QR,so from B.P.T we got:

MRAM=LQAL−(ii)⟹MCBM=LQAL