Question

The four angles of a quadrilateral BEST are in ratio of 7:2:3:6. What kind of quadrilateral BEST is ?

Answer 1

Answer:

BEST is a Trapezium,

Step-by-step explanation:

The angles of a quadrilateral are given as in the ratio 7:2:3:6.

Let the angles be  7xr ,2x, 3x, 6x,.

The sum of angles of a quadrilateral = 360°

⇒2x+3x+6x+7x = 360

⇒18x = 360

⇒x = 360/18

∴x = 20°

∴The angles are 140°,40°,60°,120°

since ∠B + ∠E = 180°  &

∠S + ∠T = 180°  ( ∴ BT ║ SE)

But ∠B + ∠T ≠ 180° AND ∠E + ∠S ≠ 180° (∴ BE ∦ ST  )

⇔BEST is a Trapezium,