Question

the four angles of a quadrilateral are in the ratio 1:2:3:4 what is the measure of each angle ​

Answer 1

Step-by-step explanation:

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

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

∴ x+2x+3x+4x=360

⇒10x=360

∴ x=36

0

∴ angles are 36

0

,72

0

,108

0

& 144

0

.

Answered By

Ayushi bhadana

Answer 2

Answer:

the four angles are 36°,72°,108°&144°

Step-by-step explanation:

we know that,

the sum of all angles in a quadrilateral is 360°

let angles be x

then we get 1x , 2x , 3x and 4x

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

=> 10x = 360

=> x = 360/10

=> x = 36°

then,

1x = 1(36) = 36°

2x = 2(36) = 72°

3x = 3(36) = 108°

4x = 4(36) = 144°

therefore the four angles of quadrilateral is 36°,72°,108°&144°