ABCD in which AB=6cm, BC=5cm, <A=55,<B=110and<D=90 answer plz tell me the answer its very urgent
Answers
Answer:hi dear this is your answer
Step-by-step explanation:
"Given: AB = 6 cm, BC = 5cm, angle A = 55 degree, angle B = 110 degree and angle D = 90 degree.
Steps;
Angle sum property of a quadrilateral:
∠A + ∠B + ∠C + ∠D = 360 degree
55 + 110 + ∠C + 90 = 360 degree
∠C = 105 degree
1. Draw AB = 6 cm.
2. Take A as a centre construct an angle of 55 degrees and then from B make 110 degrees.
3. Take the measurement of BC = 5cm on the compass and cut the angle 110 line. Mark the point as C.
4. Now take C as a centre and construct 105 degrees.
5. The point where angle C and D will meet will be D.
Step-by-step explanation:
⇒ Draw a line segment AB = 6cm.
⇒ Construct an angle of 60
∘
at point B.
⇒ Cut off BC = 4cm.
⇒ We know that adjacent angles of parallelogram are supplementary then, construct an angle of 120
∘
at point A and C which meet at point D.
⇒ Thus, ABCD is a required parallelogram.
⇒ Let AB=a=6cm and BC=b=4cm --- ( 1 )
⇒ Perimeter of parallelogram ABCD=2(a+b)
⇒ 2(6+4) [From( 1 )]
∴ Perimeter of parallelogram ABCD=20cm.