Construction of ABCD

To construct ABCD, we need to follow the given conditions: AB = BC = 5.5cm, ∠B = 130°, ∠C = 60°, and ∠D = 50°.

Step 1: Draw line segment AB
- Take a ruler and draw a line segment AB of length 5.5cm.

Step 2: Construct angle B
- Place the compass on point A and draw an arc that intersects line segment AB.
- Without changing the compass width, place the compass on point B and draw another arc that intersects the previous arc.
- Label the intersection point as C.

Step 3: Construct angle C
- Place the compass on point C and draw an arc that intersects the previously drawn arc.
- Without changing the compass width, place the compass on point A and draw another arc that intersects the previous arc.
- Label the intersection point as D.

Step 4: Draw line segment CD
- Use a ruler to draw a line segment CD connecting points C and D.

Step 5: Measure angles
- Use a protractor to measure angles B, C, and D to ensure they match the given values (130°, 60°, and 50° respectively).

Step 6: Label the sides
- Label AB, BC, and CD as 5.5cm each.

Step 7: Verify the construction
- Check if AB = BC = 5.5cm, ∠B = 130°, ∠C = 60°, and ∠D = 50°.

Explanation:
- The construction process starts by drawing line segment AB of length 5.5cm.
- Angle B is constructed by using arcs to find the intersection point C.
- Angle C is constructed by using arcs to find the intersection point D.
- Line segment CD is then drawn to connect points C and D.
- Finally, the measurements of angles B, C, and D are verified, and the sides AB, BC, and CD are labeled as 5.5cm each.

Note:
- The given construction is based on the information provided and does not require any additional steps.

firstly draw a rough figure to help you to solve problems