Question

the angle of quadrilateral are in the ratio 6:7:8:9 ,then which of the following can be concluded​

Answer 1

Let be ratio=+

6+7+8+9=360

30=360

=360/30

=12

Answer 2

Given:

We have given the angle of a quadrilateral are in the ratio 6:7:8:9.

To Find:

We have to find the measure of each angle?

Step-by-step explanation:

• We have given the angle of a quadrilateral are in the ratio 6:7:8:9.

• Let the angle be according to the given ratios 6x,7x, 8x, 9x.
• Now we know the sum of all angles of the quadrilateral is equal to $360^\circ$ the which is known as the angle sum property of the quadrilateral.
• Now we have four angles which are 6x,7x, 8x, 9x we will write them as the sum of them we give  $360^\circ$.

       $6x+7x+8x+9x=360^\circ$

• Now we will simplify the above equation for the value of x

       $30x=360^\circ\\x=\frac{360}{30} =12$

• Hence we can get the angles of quadrilateral will be given as below

       $6x=6\times12=72^\circ\\7x=7\times12=84^\circ\\8x=8\times12=96^\circ\\9x=9\times12=108^\circ$

Hence, we get that all angle of the quadrilateral are $72^\circ,84^\circ,96^\circ,108^\circ,$