Question

The angles of a quadrilateral are in the ratio of 1:2:3:4. What is the measure of the four angles?​

Answer 1

Answer:

the measure of all 4 angles are - 36 , 72 , 108 , 144.

Step-by-step explanation:

let the angles of a quadriletral be 1x, 2x,3x,and 4x

applying angle sum property of quadriletral ( measure 360)

1x + 2x +3x +4x = 360°

10x = 360

x = 360/10

x= 36

value of x = 36

applying the value of x in each

1x = 1*36 =36

2x = 2*36= 72

3x = 3*36 = 108

4x = 4*36 = 144

Answer 2

Question:

The angles of a Quadrilateral are in the ratio of $1:2:3:4$. What is the measure of the four angles?

Given-:

Ratios of four angles of quadrilateral are $1:2:3:4$

Answer:

Let the angles of quadrilateral be $x,2x,3x\: and\: 4x$

We know, sum of all angles of quadrilateral is $360°$

$\therefore$ $x+2x+3x+4x=360°$

$\implies$ $10x=360°$

$\implies$ $x=$ $\large\cancel\frac{360}{10}$

$\underline\color{purple}\boxed{x=36°}$

Final Answer

Angles are

$1x=36×1=36$

$2x=36×2=72$

$3x=36×3=108$

$4x=36×4=144$

Hence, the angles are $36,72,108\: and\: 144$