Question

5. The four angles of a quadrilateral are in the ratio 1:2:3:4. The measure of its smallest angle is (a) 1209 (b) 36° (c) 180° (d) 10°​

Answer 1

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

Answer 2

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

∴x+2x+3x+4x=360

10x=360

x=36

hence the measures of angles are 36,72,108,144

smallest angle is 36°