Question

the angles of a quadrilateral are in the ratio 2 ratio 4 ratio 5 ratio 7 find the measure of each angles​

Answer 1

Answer:

let angles of quadrilateral are 2x, 4x, 5x, 7x

now sum of angles of quadrilateral is360*

so

2x+4x+5x+7x=360*

18x=360

x=360/18=20

angles are

2x=2×20=40*

4x=4×20=80*

5x=5×20=100*

7x=7×20=140*

Answer 2

Answer:

The angles of quadrilateral are 40$\textdegree$, 80$\textdegree$, 100$\textdegree$ and 140$\textdegree$

Step-by-step explanation:

Given that angles of quadrilateral are in ratio 2 : 4 : 5 : 7

Let the angles be $2x,\hspace{0.1cm}4x,\hspace{0.1cm}5x\hspace{0.1cm}and\hspace{0.1cm}7x$

We know, sum of angles of quadrilateral is 360$\textdegree$

Thus, we get

$2x + 4x + 5x + 7x = 360\\\\18x = 360\\\\x = \frac{360}{18}\\\\x = 20$

Thus, measure of each angle is calculated as follows:

$2 \times 20 = 40\textdegress$

$4 \times 20 = 80\textdegress$

$5 \times 20 = 100\textdegress$

$7 \times 20 = 140\textdegress$

Hence, angles of quadrilateral are 40$\textdegree$, 80$\textdegree$, 100$\textdegree$ and 140$\textdegree$