Question

The four angles of a quadrilateral are in the ratio 1:2:3:4. Find the measure of its smallest angle

Answer 1

Answer:

Ratio of angles :

1:2:3:4

= 1x + 2x + 3x + 4x = 360

10 x = 360

x= 360/10 = 36

smallest angle = 1x = 1×36

=36

Answer 2

Answer:

The four angles of a quadrilateral are in the ratio 1:2:3:4. Find the measure of each angle of the quadrilateral

ANSWER

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

Then Let the angles are x,2x,3x and 4x

We know that total of four angles of a quadrilateral =360

0

∴x+2x+3x+4x=360

⇒10x=360

⇒x=36

0

hence the measures of angles are 360 ,720,1080 ,1440