Question

How would you solve this problem?

Answer 1

47 degrees

Explanation:

Due to the Exterior Angle Theorem, you know that the exterior angle is equal to the sum of the opposite two interior angles:

`2x-2=x+45\\x=47`

Answer 2

x = 47

Explanation:

The exterior angle is the sum of the opposite interior angles for a triangle

2x-2 = x + 45

Subtract x from each side

2x-2 -x = x+45-x

x-2 = 45

Add 2 to each side

x-2 +2 = 45+2

x = 47