Question

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

Answer 1

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