Question

find the measurement of four angles of a quadrilateral if they are in ratio of 1:2:3:4​

Answer 1

Answer:

Step-by-step explanation:

Let no be x so 1x ,2x,3x,4x

sum of all sides =360

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

10x=360

x=360/10

x=36

1x=1*36

2x=2*36

3x=3*36

4x=4*36

=36,72,108,144

Answer 2

Given:

ratio of the four angles : 1:2:3:4

To Find:

measurement of the four angles of the quadrilateral

Solution:

Let the measure of the four angles be x, 2x, 3x, 4x

We know that,

sum of all measure of all four angle = 360°

$∴x + 2x + 3x + 4x = 360°$

$⟹10x = 360°$

$⟹x = 36°$

$⟹2x = 2 \times 36 °= 72°$

$⟹3x = 3 \times 36° = 108°$

$⟹4x = 4 \times 36 °= 144°$

Hence:

the measure of the four angles of the quadrilateral are 36°,72°,108° and 144°