Arrange the following seps in correct order in constructing a quadrilaerla PQRS, given `PS=3.2cm,PQ=5.6cm,/_P=60^(@),/_Q=75^(@)` and `/_R=90^(@)`
Step 1: At Q draw `/_YQP=75^(@)` so tha YQ intersecs MS at R.
Step 2: With P as centre and radius 3.2 cm, draw ar arc to cu PX at S.
Step 3: Draw PQ =5.6 cm.
Step 4: At P, draw `/_XPQ=60^(@)`
Step 5: At S draw `/_MSP=135^(@)`

Options

A. 3,4,1,5,2
B. 3,1,2,5,4
C. 3,2,1,5,4
D. 3,4,2,5,1

Explanation

To construct the quadrilateral PQRS with the given measurements and angles, we need to arrange the steps in the correct order. Here is the step-by-step solution:

### Step-by-Step Solution:

1. **Step 3: Draw PQ = 5.6 cm.**
- Start by drawing a line segment PQ of length 5.6 cm. This will serve as the base of the quadrilateral.

2. **Step 4: At point P, draw ∠XPQ = 60°.**
- Using a protractor, measure an angle of 60° at point P. Extend the line from P at this angle; this line will eventually help us locate point S.

3. **Step 2: With P as the center and radius 3.2 cm, draw an arc to cut PX at S.**
- From point P, use a compass to measure a radius of 3.2 cm. Draw an arc that intersects the extended line PX. Label the intersection point as S.

4. **Step 5: At S, draw ∠MSP = 135°.**
- At point S, use a protractor to measure an angle of 135° with respect to line PS. Extend this line to intersect the line extended from Q at point R.

5. **Step 1: At Q, draw ∠YQP = 75° so that YQ intersects MS at R.**
- Finally, at point Q, measure and draw an angle of 75° to create line YQ. This line should intersect the line MS at point R.

### Final Arrangement of Steps:
The correct order of steps to construct the quadrilateral PQRS is:
1. Step 3
2. Step 4
3. Step 2
4. Step 5
5. Step 1