Question

The angles of a quadrilateral are in the ratio 2:3:7:6. Find the measure of each angle of the quadrilateral.

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Answer 1

Answer:

40°, 60°, 140° and 120°

Step-by-step explanation:

Let x be the common multiple in angles.

So, angles will be 2x, 3x, 7x and 6x.

Sum of all angles in a quadrilateral is 360°.

Summing up all angles,

2x + 3x + 7x + 6x = 360°

18x = 360°

x = 20°

So,

Angles will be

2x = 2(20°) = 40°

3x = 3(20°) = 60°

7x = 7(20°) = 140°

6x = 6(20°) = 120°

Answer :-

The measure of angles are 40°, 60°, 140° and 120°.

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Answer 2

Answer:

Let the angles be 2x, 3x,7x and 6x

Step-by-step explanation:

Therefore

2x+3x+7x+6x=360

18x =360

X =360/18

X =20

So 2x=2*20 =40

3x =3*20=60

7x =7*20=140

6x=6*20=120