Construct the following quadrilaterals.
Parallelogram
HEAR
HE=5cm
EA=6cm
`/_R=85^(@)`

Answer

To construct the parallelogram HEAR with the given dimensions and angle, follow these steps:

### Step-by-Step Construction:

1. **Draw Line Segment HE**:
- Use a ruler to draw a line segment HE that measures 5 cm.

2. **Construct Angle R**:
- At point E, use a protractor to measure an angle of 85 degrees. Mark this angle on the paper.

3. **Draw Line EA**:
- From point E, draw a line segment EA that measures 6 cm along the direction of the 85-degree angle you just marked.

4. **Locate Point A**:
- Mark the endpoint of the line segment EA as point A.

5. **Draw Line Segment HR**:
- Since HEAR is a parallelogram, HR must be parallel to EA. To find point R, use a ruler to draw a line parallel to EA starting from point H.

6. **Measure Line HR**:
- Since HE = HR = 5 cm, measure 5 cm along the line you just drew from point H to locate point R.

7. **Complete the Parallelogram**:
- Finally, connect points A and R with a straight line to complete the parallelogram HEAR.

### Final Check:
- Ensure that opposite sides HE and AR are equal (both 5 cm) and EA and HR are equal (both 6 cm). Also, check that angles E and R are equal, confirming that HEAR is indeed a parallelogram.