Question

the angles of a quadritateral. are in the ratio 3: 2: 5: 8. Find the measure of each and angle.​

Answer 1

Answer:

Let it be x.

then 3x + 2x + 5x + 8x

= 18x

now the total sum of the quadrilateral is 360

so..

18x=360

x = 360/18

x= 20

Now..

for 3= 20×3= 60

2= 20×2= 40

5= 20×5= 100

8= 20×8= 160

now you can check whether your answer is right or not..by adding up 60+40+100+160= 360

Answer 2

Given:-

• Ratio of Angle of a Quadrilateral = 3:2:5:8

To Find:-

• Measure of each angle.

Solution:-

Let the Ratio be 3x , 2x, 5x , 8x

As we know that sum of Angles in quadrilateral is 360°

So ,

→ 3x +2x + 5x +8x = 360°

→ 18x = 360°

→ x = 360/18

→ x = 20°

Now putting the value of x = 20°

3x = 3×20 = 60°

2x = 2×20 = 40°

5x = 5×20 = 100°

8x = 8×20 = 160°

∴ The measure of angles of quadrilateral is 60°, 40° , 100° & 160°.