The angles of a polygon are given by 2x, 5x, x and 4x respectively. The value of x is
A
31°
B
30°
C
26°
D
48°
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Since there are 4 angles given, the polygon is a quadrilateral.
Sum of angle in a quadrilateral = 360^\circ
\(\therefore\) 2x + 5x + x + 4x = 360^\circ
12x = 360^\circ
x = 30^\circ
Source: Myschool Past Questions Archive (Record #55081)