Question

The angles of a quadrilateral
are in the ratio of 2:3:51Pind the anges of the quadrilateral
​

Answer 1

The ratio of angles of quadrilateral are 2:3:51 =>Let the four angles be 2x,3x and 51x

We know, sum of four angles of quadrilateral is 360° ∴2x+3x+51x=360°

⇒ 56x=360°

⇒ x=6.42°

The angles are,

⇒ 2x =2×6.42°=12.84°

⇒ 3x =3×6.42°=19.26°

⇒ 51x =51×6.42°=327.42°

Answer 2

The angles of a quadrilateral are in the ratio= 2:3:5:1
The angles of quadrilateral= 2x ,3x,5,x,1x
Sum of angles in a quadrilateral= 360
So 2x+ 3x+5x+1x=360
11x=360
x=360/11=32.727=32.7
The required angles =65.4, 98.1, 163.5 32.7