Two sides of the quadrilateral are in the ratio of 2:3 find them

1.	Two sides of the quadrilateral are in the ratio of 2:3 find them
Answer» Answer: Answer Let the ANGLES of the quadrilateral in DEGREES be =2a,3a,4a and a Since the sum of angles of a quadrilateral =360 o , 2a+3a+4a+a=360 o 10a=360 o a=36 So, the angles of the quadrilateral are =2a=72 o ,3a=108 o ,4a=144 o and a=36 Suppose ∠A=72 o and ∠B=108 o Sum of ∠A and ∠B=72 o +108 o =180 o This means, AB is a transversal to the parallel SIDES AD and BC as the sum of interior angles on the same side of transversal is 180 o Hence, AD∥BC and ABCD is a trapezium

Answer»

Answer:

Answer

Let the ANGLES of the quadrilateral in DEGREES be =2a,3a,4a and a

Since the sum of angles of a quadrilateral =360

2a+3a+4a+a=360

10a=360

a=36

So,

the angles of the quadrilateral are =2a=72

,3a=108

,4a=144

and

a=36

Suppose

∠A=72

and ∠B=108

Sum of ∠A and ∠B=72

+108

This means, AB is a transversal to the parallel SIDES AD and BC as the sum of

interior angles on the same side of transversal is 180

Hence, AD∥BC and ABCD is a trapezium

Discussion