Question

I am leaving from brainly app who are interested to answer my questions please answer this only moderator please​

Answer 1

Answer:

36 degree,60 degree,108 degree,156 degree

Step-by-step explanation:

Let the angles be 3x,5x,9x and 13x

sum of angles of quadrilateral

=360 degree

=>3x+5x+9x+13x=360 degree

=>30x=360 degree

=>x=12 degree

therefore, angle 1=3×12 =36 degree

angle 2=5×12 =60 degree

angle 3=9×12 =108 degree

angle 4=13×12=156 degree

sum = 360 degree

HERE IS YOUR ANSWER!!

Answer 2

Step-by-step explanation:

Given :

The ratio of angles of a quadrilateral are in the ratio 3:5:9:13.

To find :

All the angles of the quadrilateral.

Solution :

Let the angles of the quadrilateral be:

• 3x
• 5x
• 9x
• 13x

Then we know, in a quadrilateral sum of interior angles is equal to 360°.

That is:

⇒ 3x + 5x + 9x + 13x = 360°

⇒ 30x = 360°

⇒ x = 360°/30

⇒ x = 12°

Hence, the angles are:

⇒ 3x = 36°

⇒ 5x = 60°

⇒ 9x = 108°

⇒ 13x = 156°

Verification :

• 3x + 5x + 9x + 13x = 360°
• 36° + 60° + 108° + 156° = 360°
• 96° + 264° = 360°
• 360° = 360°

∴ L.H.S = R.H.S

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