Respuesta :

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle

2x - 2 = 45 + x

2x - x = 45 + 2

x = 47°

Answer:

x = 47

Step-by-step explanation:

Finding the third angle (y) of the triangle:

- Since angles on a straight line add up to 180:

2x -2 + y = 180

y = -2x + 2 + 180

= -2x + 182

Hence, the third angle of the triangle is -2x + 182.

Since all 3 angles of a triangle add up to 180°:

-2x + 182 + x + 45 = 180

-2x + x + 227 = 180

-2x + x = 180 - 227

-x = -47

x = 47

Hence, x = 47