Attempt following question by selecting a choice to answer.
B
The measures of five angles of a hexagon are
128o, 112o, 134o, 106o and
126o. What is the measure of the sixth angle?
eee BBBA.
B228
oB.
B122
oC.
B114
oD.
BNone of the above
BB
C
Step 1: The sum of the measures of the angles of a polygon with n sides is (n - 2)180o .
Step 2: Sum of the angle measures of a hexagon = (6 - 2) × 180o[A hexagon has 6 sides. So, substitute n = 6.]
Step 3: = 720o
Step 4: Let x be the sixth angle of the hexagon.
Step 5: 128o + 112o + 134o + 106o + 126o + x = 720o[ Five angles are given.]
Step 6: x + 606o = 720o[Add the five angles.]
Step 7: x = 720o - 606o[Subtract 606o from both sides.]
Step 8: x = 114o
Step 9: So, the sixth angle of the hexagon is 114o.