Question

Find the missing angle measure in the hexagon.

1. The sum of the measures of the interior angles of a hexagon is

540

613

720

1080

2. The measure of the missing angle is

86

94

107

144

Answer 1

• C. 720°
• C. x = 107°

Explanation:

1. Use the formula below to find the sum of interior angles of the regular polygon:

• S = 180°(n - 2)

Applying to hexagon:

• S = 180°(6 - 2) = 180°(4) = 720°

Correct option is C

2. Sum of the angles of the given hexagon:

• 94° + 167° + 98° + 122° + 132° + x = 720°
• 613° + x = 720°
• x = 720° - 633°
• x = 107°

Correct option is C