Question

the angles of a quadilateral is 3:4:5:6 find their measure​

Answer 1

Answer:

Step-by-step explanation:

In a quadilateral the angles add up to  

360

o

Let's call the angles  

3

x

,

4

x

,

5

x

and

6

x

Then:

3

x

+

4

x

+

5

x

+

6

x

=

360

→

18

x

=

360

→

x

=

20

Then the angles are  

60

o

,

80

o

,

100

o

and

120

o

(because  

3

⋅

20

=

60

etc)

Check:  

60

+

80

+

100

+

120

=

360

Answer 2

HEY

Given ratio = 3: 4: 5: 6

Let it be = 3x : 4x : 5x : 6x

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

SUM OF ALL THE ANGLES IN A QUADRILATERAL = 360°

$18x = 360 \\ \\ x = \frac{360}{18} \\ \\ x = 20$

3x = 20 × 3

=60°

4x= 20 × 4

=80°

5x = 20 × 5

= 100°

6x = 20 × 6

=120°