Aconvex pentagon has the following measurements for its interior angles: (x-8), (3x-11), (x+8), (x), and (2x+7). which of the following could be measurements for interior angles of the pentagon? select all that apply. a: 60 b: 68 c: 76 d: 108 e: 193 f: 540

A, B, C, E

Explanation:

The sum of the interior angles of a polygon can be determined by the formula: (n - 2)180 ; where n represents the number of sides.  Since a pentagon has 5 sides, then (5 - 2)180 = 540

 x - 8

3x - 11

 x + 8

 x

2x + 7

8x - 4  =  540

    +4        +4

8x        =  544

÷8            ÷8  

 x         =   68

x - 8    ⇒     68 - 8 = 60  (A)

3x - 11   ⇒     3(68) - 11 = 193 (E)

 x + 8   ⇒     (68) + 8 = 76 (C)

 x         ⇒     (68)  (B)

2x + 7   ⇒     2(68) + 7 = 143