Math, asked by munnaagrahari0906165, 1 year ago

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

Answers

Answered by rishu6845
5

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*

Answered by MavisRee
1

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

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