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Step-by-step explanation:
first draw parallel line qo which is parallel to AB and CD hence, qo bisect angle q
angle BPQ=1/2angle q(alt.angle)
but,1/2angle q=angle r
Therefore angle p+ angle r=180°
but angle r=angle 1/2angle q
2angle r =angle q
p+r=180°(l.p)
Hence,p+q-r =180°
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