Question

The measures of four angles of a quadrilateral are in the ratio 1: 2: 3: 4: what is the measure of the smallest ​

Answer 1

Answer :-

Let the angles be x , 2x , 3x and 4x.

• Sum of all angles of quadrilateral = 360°

x + 2x + 3x + 4x = 360°

10x = 360°

x = 36°

Angles = 36° , 72° , 108° and 144°

Smallest angle = 36°

Answer 2

Answer:

sum of angles in quadrilateral is 360°

four angles of a quadrilateral are in ratio 1:2:3:4

we known

1x+2x+3x+4x=360°

so ,

10x =360°

x=36°

hence

angles of quadrilateral is

1x=36°

2x=72°

3x=108°

4x=144°

hence smallest angle is 36°