Question

Using ruler and a pair of compasses only construct a quadrilateral ABCD with |AB|=9cm, |BC|=10cm, |AD|=7.5cm, angle ABC =45°and angle BAD =135°

Answer 1

Using a straightedge and compass only, you cannot mark lengths.
But, since you seem to want them, assume you can in fact mark desired lengths.
Draw a line AB of length 9
At B, construct a circle of radius 10
Construct a right angle at B and bisect it. That will make it 45°. Where the angle intersects circle B will be point C.
At A construct a circle of radius 7.5
At A, construct a right angle. Extend AB past A, and bisect the angle outside AB. That will form an angle of 90+45 = 135°.
Where the angle intersects the circla at A will be point D.
Finally, draw line CD.

Answer 2

I won't the answer

Answer 3

Using a ruler and a pair of compasses only construct a quadrilateral ABCD such that angle BAD =60 degrees angle ABC 135 degrees AB 6.5cm AD 8.5 CD 11cm