Question

Construct a trapezium ABCD where AB||DC, ZA = 105°, AD = 3 cm, AB = 4 cm, and CD = 8 cm.
side is 5 cm and one angle is of 60°.​

Answer 1

Answer:

In trapezium ABCD,

∠A+∠D=180

∘

[Adjacent angles]

⇒105+∠D=180

∘

⇒∠D=75

∘

Steps for construction :

Step 1. Draw a line segment AB=4cm

Step 2. Draw a ray

AX

such that ∠ BAX = 105

∘

Step 3. Mark a point D on AX such that AD=3cm

Step 4. Draw

DX

such that ∠ADY=75

∘

Step 5. Mark a point C such that CD=8cm

Step 6. Join BC

Hence , ABCD is the required trapezium .

solution