x = 119°
Step-by-step explanation:
We would be using an illustration to make it easy to understand:
The sum of the exterior angle and the interior angle on the line is equal to 180 degrees
The exterior angle and the interior angle are represented by the two green colours
exterior angle = 134°
134° + interior angle = 180° (sum of angles on a line)
interior angle = 180 - 134
interior angle = 46°
We can find the value of x now:
15° + x° + interior angle = 180° (sum of angles in a triangle)
15 + x + 46 = 180
collect like terms;
x + 61 = 180
x = 180 - 61
x = 119°