Question

in the given triangle ABC line PQ is parallel to side BC then angle B = angle P because they are _________.​

Answer 1

Answer:

In ΔAPQ and ΔABC,

∠ACQ=∠ABC [As PQ || AB, corresponding angles are equal.]

$$\angle{PAQ = \angle{BAC}$$ [Common angle]

Hence, ΔAPQ ~ ΔABC by AA criterion for similarity

So, we have

AP/AB=AQ/AC

AP/9=4.2/6

Thus,

AP=6.3cm

Step-by-step explanation:

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