Answer:
x = 55
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
the sum of the 4 angles in a quadrilateral = 360°
the angles to the left and above 130° angle = 50°
Since 130° and 50° form a straight angle and are supplementary
the third angle in the left triangle = 180° - (50 + 30)° = 100°
thus the angle to the right = 180° - 100° = 80° ( straight angle )
the third angle in the upper triangle = 180° - (50 + 45)° = 85°
the angle below it = 180° - 85° = 95° ( straight angle )
We now have 3 angles inside the quadrilateral of 130°, 80° and 95°
x = 360° - (130 + 80 + 95)° = 55
