Construct a trapezium ABCD in which AB is parallel to DC having AB=9 cm, CD=5 cm, angle BAD=70 degree , - Maths - Practical Geometry

Question

Construct a trapezium ABCD in which AB is parallel to DC having
AB=9 cm, CD=5 cm, angle BAD=70 degree , angle DBA=50 degree

Rishabh Mittal · Accepted Answer

Dear Student ,

Please find below the solution to the asked query :

∠BAD+∠ADC=180°    Adjacents angles are supplementary in trapezium70°+∠ADC=180°∠ADC=110°steps of construction :1 Draw a line segment AB=9 cm 
2 Draw a line AP at an angle 70° at point P and  Draw a line BQ at an angle 50° at point Q
3 Line AP and BQ intersects at point D
4 At point draw a line DR at an angle of 110° 
5 Taking D as centre , draw an arc of 5 cm , which cuts line DR at point C 
6 Join BC 
Thus ABCD is the required trapezium 
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Construct a trapezium ABCD in which AB is parallel to DC having AB=9 cm, CD=5 cm, angle BAD=70 degree , angle DBA=50 degree