Question

The angles of a quadrilateral are in the ratio 4ratio 3ratio 2ratio 6 ratio. Find the measure of each angle​

Answer 1

Answer:

Given the angles of a quadrilateral are in the ratio 3:4:5:6

Let the angles of quadrilateral be 3x,4x,5x, and 6x

We know that the sum of all angles of a quadrilateral is 360  

o

 

∴3x+4x+5x+6x=360  

o

 

18x=360  

0

 

x=360  

0

/18

x=20  

0

 

Hence, the angles are:

3x=3×20  

0

=60  

0

 

4x=4×20  

0

=80  

0

 

5x=5×20  

0

=100  

0

 

6x=6×20  

0

=120  

0

 

Hence,the largest angle is 120  

0

Answer 2

Answer:

Let the angles of quadrilateral be 3x,4x,5x, and 6x

We know that the sum of all angles of a quadrilateral is 360°

∴3x+4x+5x+6x=360°

18x=360°

x=360°  /18

x=20°

Hence, the angles are:

3x=3×20°

=60°  

4x=4×20°  

=80°  

 

5x=5×20°  

 =100°  

 

6x=6×20°  

 =120°  

 

Hence,the largest angle is 120°