contestada

The measures of the angles of a quadrilateral are in the
ratio 2:3:6:7. Find the number of degrees in the largest
angle of the quadrilateral.

Respuesta :

Answer:

140

Step-by-step explanation:

Consider a square for just a second. It has 4 angles each of 90 degrees. The total number of degrees in a square is 4 * 90 = 360.

It should be at least an appeal to your intuition to say that a quadrilateral has a total of 360 degrees.

Therefore the ratio you have been given must have 4 angles that add to 360.

2x + 3x + 6x + 7x = 360

18x =360

x = 20

So the 4 angles are

2* 20 = 40

3*20 =  60

6*20 = 120

7*20 = 140

Total    360

The largest angle is 140