Question

The angles of a quadrilateral are in the ratio 3:4:5:6. The respective angles of the quadrilateral are​

Answer 1

Answer:

angles of quadrilateral in ratio is 3:4:5:6=3x,4x,5x,6x

sum of angles of quadrilataral=360

3x+4x+5x+6x=360

18x=360

x=360/18

x=20

the angles are

3x=3(20)=60

4x=4(20)=80

5x=5(20)=100

6x=6(20)=120

Answer 2

Solution:-

Given:-

=> The angle of a quadrilateral are in the ratio of 3:4:5:6

To find :-

=> The respective angel of quadrilateral

Now we know that

=> Sum of all angle of quadrilateral is 360⁰

We can write

=> 3x + 4x + 5x + 6x = 360⁰

=> 7x + 11x = = 360⁰

=> 18x = 360⁰

=> x = 360⁰/18

=> x = 20⁰

Now

First angle of quadrilateral is 3x => 3 x 20 = 60⁰

Second angle of quadrilateral is 4x => 4 × 20 = 80⁰

Third angle of quadrilateral is 5x => 5 × 20 = 100⁰

Fourth angle of quadrilateral is 6x => 6 × 20 = 120⁰

Now check our answer

=> ∠1 + ∠2 + ∠3 + ∠4 = 360⁰

=> 60⁰ + 80⁰ + 100⁰ + 120⁰ = 360⁰

=> 140⁰ + 220⁰ = 360⁰

=> 360⁰ = 360⁰

LHS = RHS