The measure of the exterior angle of the triangle is

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