Find the value x.
40 degrees
80 degrees
110 degrees
x degrees
the shape is a quadrilateral.
(n-2) 180
A. 40
B. 50
C. 80
D. 60
The sum of the interior angles of a quadrilateral is (n-2) x 180, where n=4 (number of sides of a quadrilateral).
So,
(n-2) x 180 = (4-2) x 180 = 360
The given angles are 40 degrees, 80 degrees, 110 degrees, and x degrees.
Therefore,
40 + 80 + 110 + x = 360
Simplifying,
x = 360 - (40 + 80 + 110) = 130
So the value of x is 130 degrees.
Answer: x = 130.