Question

What is the length of PR?

Answer 1

Answer

Find out the  length of PR .

To prove

As given in the diagram

∠P = ∠Q

By using the property

If two angles are equal than their opposite sides are also equal .

thus

PR = RQ

As given in the diagram

PR = 5n

RQ = 32 + n

Thus

5n = 32 + n

5n - n = 32

4n = 32

$n = \frac{32}{4}$

n = 8

Put n = 8 in the PR = 5n

PR = 5 × 8

    = 40 units

RQ = 32 +8

     = 40 units

Therefore  PR = RQ  = 40 units .

Hence proved

Answer 2

PR = QR

5n = 32 +n

 subtract 1 n from each side

4n = 32

divide both sides by 4

n = 32/4 = 8

n=8

PR = 5n = 5*8 = 40

PR = 40