The measure of the exterior angles of a quadrilateral are 4x° , 7x°, 9x° and 10x°. Find the measure of the smallest exterior.

48°

Step-by-step explanation:

the sum of the exterior angles of any polygon is 360°

so, 4x + 7x + 9x + 10x = 360

30x = 360

x = 12

smallest exterior ∡ is 4x, so 4(12) = 48°

x = 6

Step-by-step explanation:

First step is to distribute the 5(x + 2).

5x + 10 = 6x + 3x - 14

The 6x and the 3x on the right can be combined.

5x + 10 = 9x - 14

Now add 14 to both sides to isolate the 9x.

5x + 24 = 9x

Subtract 5x from both sides.

24 = 4x

Divide by 4 to get x by itself.

6 = x