Answer:the value of x is 30 degrees
Step-by-step explanation:
The sum of the angles on a straight line is 180 degrees. This means that the exterior angle of the triangle, 4x + the third interior angle of the triangle = 180
The third angle = 180 - 4x
Also, the sum of the angles in a triangle is 180 degrees. This means that
180 - 4x + 90 + x = 180
- 4x + x = 180 - 180 - 90
- 3x = - 90
x = - 90/ - 3
x = 30 degrees
