Question

the angles of a quadrilateral are in ratio 3:4:5:6. Find the measure of each angle
with explanation ​

Answer 1

Answer:

60° 80° 100° 120°

Step-by-step explanation:

Let the angles be 3x , 4x , 5x and 6x.

We know that ,

sum of the angles of quadrilateral is 360° .

Therefore,

3x + 4x + 5x + 6x = 360°

18x = 360°

x=20°

Hence required angles are 60° ,80° ,100° ,120°.

Answer 2

Answer:

60°, 80°, 100° and 120°

Step-by-step explanation:

Let x be a common factor between these ratios.

So,

Angles are 3x, 4x, 5x and 6x.

Sum of all angles in a quadrilateral is 360°.

3x + 4x + 5x + 6x = 360°

18x = 360°

x = 20°

Now,

Angles are

3x = 3*20° = 60°

4x = 4*20° = 80°

5x = 5*20° = 100°

6x = 6*20° = 120°

The measure of angles are 60°, 80°, 100° and 120°.

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