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Answer :
PM/PQ = PN/PR because triangle PMN is similar to triangle PQR.
Similar triangles are triangles with the same shape but different sizes.
They have equal corresponding angles and proportional corresponding sides.
This means that their overall structure is identical, but one may be a scaled-up or scaled-down version of the other.
Since line MN is parallel to line PQ
angle A = angle A
angle PMN = angle PQR ( corresponding angles)
Therefore we can say that ttriangle PMN is similar to triangle PQR.
PM/PQ = PN/PR ( ratio of corresponding sides are equal.)
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