Question

6. The angles of a quadrilateral are in ratio 3 : 4 : 5 : 8 . Find the angles respectively.
a) 55⁰,74⁰,95⁰,140⁰
b) 54⁰,72⁰,90⁰,144⁰
c) 50⁰,70⁰,90⁰,144⁰
d) 54⁰,70⁰,80⁰,130⁰​

Answer 1

Answer:

Option b) 54,72,90,144

Answer 2

Let the angels of quadrilateral are 3x,4x,5x and 8x.

As we know, the sum of the all angles of a quadrilateral is 360⁰

Now,

L1+L2+L3+L4=360⁰

3x+4x+5x+8x=360⁰

20x=360⁰

x=360⁰/20

x= 18⁰

Now,

L1=3x=3×18=54⁰

L2=4x=4×18=72⁰

L3=5x=5×18=90⁰

L4=8x=8×18= 144⁰

Hence the angles of a quadrilateral are 54⁰, 72⁰, 90⁰ and 144⁰

OPTION-B IS CORRECT .