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.

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

1/5^2 = 7.56/45

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right