# In the given figure, if and PY = 18 cm, then what is the value (in cm)

| In the given figure, if and PY = 18 cm, then what is the value (in cm) of PQ?

A. 28

B. 18

C. 21

D. 24

### Right Answer is: A

#### SOLUTION

and PY=18

Angle Q=75 ° angle R=60 and angle XYR=105 °

Angle QPR=180-75-60=45

Angle PYX=75 ° and angle PXY=180-45-75=60 °

So angle PQR is similar to triangle XYP

So

PQ=28cm

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In the given figure, if and PY = 18 cm, then what is the value (in cm)