what is the value of x?
a. 100°
b. 120°
c. 130°
d. 150°

Answer:
C
Step-by-step explanation:
Each interior angle forms a straight angle with the given angles and are supplementary, thus
Calculate the 3 interior angles by subtracting each angle from 180
180 - 56 = 124°
180 - 34 = 146°
180 - 140 = 40°
The sum of the interior angles of a quadrilateral is 360°, thus
fourth interior angle = 360° - (124 + 146 + 40)° = 360° - 310° = 50°
Hence x = 180 - 50 = 130° → C