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Ask iit jee aieee pet cbse icse state board experts Expert Question: Relating to an isosceles triangle
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haris (0)

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Triangle ABC is isosceles with base AC. Points P and Q are respectively in BC and AB such that AC=AP=PQ=QB. Find B in degrees.              (Ans: 180/7)
    
tarinbansal (3937)

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Its an easy question.
Let 1=@
Then 3=@   (AC=AP)
Now as AB=AC, 1=(2+4) = @
2=180-2@
Therefore, 4 = 3@-180
But as AP=AQ,
Therefore, 6=3@-180
Now 5=540-6@  (Sum of angles in a triangle =180)
Therefore, 7=5@-360               (linear angle=180)
As QP=QB,
 
Now 8+1+2+4=180
Solving we get, @=540/7
But B= 5@-360
Therefore B=180/7
 
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bvsatyaram (206)

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Tarin is right.
But instead of putting in numbers, it is always advisable to put in terms of points. I mean, instead of writing 6, write AQP.
That always keeps the solution clean.

Satyaram B V,
General Secretary, Mandakini Hostel,
IIT Madras
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haris (0)

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Yes, i understood.
 
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