Construct a trapezium ABCD in which AB||DC, ∠A = 105°, AD = 3 cm, AB = 4 cm and CD = 8 cm.
Solution:
Given, ABCD is a trapezium in which AB||DC.
∠A = 105°, AD = 3 cm, AB = 4 cm and CD = 8 cm.
We have to construct a trapezium ABCD.
We know that the adjacent angles of a trapezium are supplementary.
So, ∠A + ∠D = 180°
105° + ∠D = 180°
∠D = 75°
To construct a trapezium ABCD,
1. Draw a line segment AB = 4 cm
2. Draw a ray AX such that ∠BAX = 105°
3. Mark a point D on AX such that AD = 3 cm
4. Draw a ray DX such that ∠ADY = 75°
5. Mark a point C such that CD = 8 cm
6. Join BC
Therefore, ABCD is a required trapezium.
✦ Try This: Construct a trapezium PQRS in which PQ||SR, ∠P = 110°, PS = 4 cm, PQ = 5 cm and RS = 9 cm.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 5 Problem 186
Construct a trapezium ABCD in which AB||DC, ∠A = 105°, AD = 3 cm, AB = 4 cm and CD = 8 cm.
Summary:
A trapezium ABCD in which AB||DC, ∠A = 105°, AD = 3 cm, AB = 4 cm and CD = 8 cm is constructed above.
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