# What is the value of x given that pq||bc?

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## Question:

What is the value of x given that pq||bc?

x = 13 units

Step-by-step explanation:

Given that : PQ ║ BC

To find : The value of x

Solution :

In ΔAPQ and ΔABC

∠APQ = ∠ABC ( Corresponding angles are always equal)

∠AQP = ∠ACB (Corresponding angles are always equal)

So, By AA similarity postulate of triangles, ΔAPQ ~ ΔABC

Since, The sides of the similar triangles are proportional to each other

Hence, AQ = 13 units

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