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Question

In the figure, ACE, BCF and DCG are straight lines and AB || HC.

Find the angles p,q,r and s.

A
p=45,q=50,r=65,s=50
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B
p=45,q=65,r=50,s=50
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C
p=45,q=65,r=50,s=65
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D
p=45,q=50,r=65,s=65
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Solution

The correct option is A p=45,q=50,r=65,s=50
In ΔABC, r=1805065=65 [angle sum property of a triangle]

HC||ABq=50 [Alternative angles].

s = q [Vertically opposite angles]
Hence, s=50

Since BCF is a straight line,
(p+20)+q+r=180p=45
p=45,q=50,r=65 and s=50 are the required values.

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