Question

In a quadrilateral ABCD , the angles A,B, C and D are in the ratio 1: 2: 3: 4. The measure of smallest

angle is

a) 36⁰ b) 54⁰ c) 72⁰ d) 18⁰​

Answer 1

Step-by-step explanation:

Let the 1:2:3:4 be x ,2x,3x,4x

x+ 2x+3x+4x= 360 ( angle sum property of a quadrilateral

10 x=360

x =36

Answer is a 36 degree

Answer 2

Answer:

a)36

Step-by-step explanation:

Solu:

Let the angles be '1x' , '2x' , '3x' and '4x', then

We know,

x+2x+3x+4x=360  [Sum of interior angles of a triangle]

10x=30

x=360/10

x=36

Since, x<2x<3x<4x. The smallest angle is 36