Question

2. If angles of a quadrilateral are in the ratio 6:5:5:4, find the value of each angle and also percentage of each
angle in the quadiletral​

Answer 1

Step-by-step explanation:

sum of all sides of a quadrilateral =360 degree

6+5+5+4=20

6/20*360=108

5/20*360=90

5/20*360=90

4/20*360=72

ratio...

also 108+90+90+72=360

Answer 2

Answer:

Angles are 108⁰, 90⁰, 90⁰ and 72⁰

Percentages are 30%, 25%, 25% and 20%

Step-by-step explanation:

6x+5x+5x+4x = 360⁰

20x = 360⁰

x = 360⁰/20

x = 18

6x = 18 × ️6 = 108

5x = 18 × 5 = 90

4x = 18 ×️ 4 = 72

The angles of quadrilateral are : 108⁰, 90⁰, 90⁰,

72⁰

108/360 ×️ 100 = 30%

90/360 × 100 = 25%

72/360 × 100 = 20%

The percentages of each angle of the quadrilateral are : 30%, 25%, 25%, 20%