Answer:
X = 8
Angle STW = 61
Explanation:
44 + 9x + 3 = 14x + 7 (sum of two interior angles is equal to the exterior angle)
44 + 3 - 7 = 14x - 9x
40 = 5x
x = 8°
Now, since x = 8, therefore angle S becomes
9x + 3
=9(8) + 3
=72 + 3
=75°
Solving for angle STW
We recall that the sum of angles in a triangle is 180°
Therefore,
Angle STW = 180° - ( 44 + 75)
= 180° - 119
= 61°
Hope it helped!