Question

in ABCD the angles of the quadrilateral is 4:5:6:3 then find the measure of the smallest and greatest angle​

Answer 1

Answer:

Hi ur answer is

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

Answer:

the smallest angle is 3x which is D = 60 DEGREE

the greatest angle is 6x which is C = 120 DEGREE

Step-by-step explanation:

A + B + C+ D = 360 degree

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

18x = 360

x = 360/18

x = 20

thus the angles will be:

4x = 4*20 => 80

5x = 5*20 => 100

6x = 6*20 => 120

3x = 3*20 => 60