Question

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

Answer 1

`\boxed{x=60}`

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.

`130=70+x`

Subtract 70 from both sides.

`130-70=70+x-70`

`60=x`

Answer 2

x = 60°

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°