Monday 24 February 2014

CIRCLES C5

In the figure below, find the value of <HLJ.



Solution

<HJL = <LHK

<HJL = 540 [angles in alternate segments are equal.]

Consider HJL

<JHL + <HLJ+ <HJL = 1800 [total degrees of a triangle]

 (440 + 540) + <HLJ + 54= 1800

980 + <HLJ + 540 = 1800

1520 + <HLJ= 1800

<HLJ= 1800 - 1520

<HLJ= 280  


<HLJ= 280  


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