Use exterior angle of triangle theorem to find the missing measure of an angle in a polygon.

Step-by-step explanation:

The exterior angle theorem states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles of the triangle.

Subtract 70 from both sides.

x = 60°

Step-by-step explanation:

Exterior angle is equal to the  sum of opposite interior angles

x + 70 = 130

Subtract 70 from both sides

x = 130 - 70

x = 60°

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