Question

the angles of a quadriteral are in the ratio 2:5:5:6. find the greatest angle please answer step by step​

Answer 1

Answer:

Answer:

120°

Step-by-step explanation:

The sum of interior angles of quadrilateral = 360°

According to the question, the angles are 2x, 5x , 5x and 6x

2x + 5x + 5x + 6x = 360

18x = 360

x = 360 / 18

x = 20.

∴ The greatest angle is 6x = 6 * 20 = 120°

Answer 2

Answer:

40° : 100° : 100° : 120°

The greatest angle = 120°

Step-by-step explanation:

The sum of interior angles in a quadrilateral is 360°,

2x + 5x + 5x + 6x = 360°

18x = 360

x = 360 / 18

x = 20°

2x = 2 × 20

2x = 40°

5x = 5 × 20

5x = 100°

( 2 angles are same, they are 5x and 5x and their values are 100° and 100° )

6x = 6 × 20

6x = 120°

The angles of a quadrilateral are in the

ratio 2 : 5 : 5 : 6 is 40° : 100° : 100° : 120°

Here, the greatest angle is 120°.