Answer:
Step-by-step explanation:
Let the angles be 2x , 6x , 9x , 13x
We know that the sum of quadrilateral is 360°
Now,
[tex]2x + 6x + 9x + 13x = 360[/tex]
Calculate the sum
[tex]30x = 360[/tex]
Divide both sides of the equation by 30
[tex] \frac{30x}{30} = \frac{360}{30} [/tex]
Calculate
[tex]x = 12[/tex]
Replacing the value,
2x = 2 * 12 = 24°
6x = 6 * 12 = 72°
9x = 9 * 12 = 108°
13x = 13 * 12 = 156°
So, the angles are 24° , 72° , 108° , 156°
Hope this helps...
Good luck on your assignment...
Answer:
Below in bold.
Step-by-step explanation:
2+6+9+13 = 30.
Now there are 360 degrees in a a quadrilateral.
So the value of the shortest angle = 2/30 * 360
= 1/15 * 360
= 24 degrees.
In the same way the value of the other 3 angles is:
6/30 * 360, 9/30 * 360 and 13/30 * 360
= 72, 108 and 156 degrees.
